We need answer. Need solve. Need be careful.

We have problem. Need analyze under provided rules. Need compute. We need identify facts.

Let's restate.

Atlas Bank filed Jan 3, 2025 financing statement covering all present/future equipment, inventory, proceeds of ForgeSpan. Later advanced, valid security agreement. At default owes Atlas $1,800,000. Atlas has first priority by first filed/perfected as to debtor's collateral generally, subject PMSI super priorities.

Precision sold CNC equipment: price $900k; down $200k; financed $700k; authenticated equipment security agreement. Debtor received possession May 2, 2026. Precision filed valid equipment FS May 21, 2026. At default unpaid equipment obligation $620k. CNC line produces $650k. Need attachment/perfection. Attachment when value given, debtor rights, authenticated security agreement describes collateral. Value given? financing? The agreement. Down? Precision gave? likely value given when? Probably at sale/credit. Debtor had rights maybe upon delivery May 2. Security agreement describes. Attach by May 2 or perhaps when all happen? Need mention. Perfection: filing valid May 21. PMSI equipment priority over earlier blanket if perfect no later than 20 calendar days after debtor receives possession. Received May 2. Need count 20 calendar days after May 2. May 2 + 20? Let's count. In UCC, "not later than 20 days after receipt" (usually 20 days). If received May 2, deadline May 22? Need count? Let's analyze.

Calendar days after May 2: May 3 is 1, May 4 2, ... May 21 19? Let's count. If "within 20 days after" period begins day after event; last day is 20th day after: May 22? Let's count.

May 2 possession.
May 3 day 1
May 4 day 2
May 5 3
May 6 4
May 7 5
May 8 6
May 9 7
May 10 8
May 11 9
May 12 10
May 13 11
May 14 12
May 15 13
May 16 14
May 17 15
May 18 16
May 19 17
May 20 18
May 21 19
May 22 20. So if deadline is 20 days after receipt, May 22. If "no later than 20 calendar days after" maybe by end of May 22. Since filed May 21, within 20 days. If some compute 20-day period May 2 to May 21 inclusive has 20 days? Wait May 2 to May 21 inclusive = 20 days. Problem says "The 20-day equipment period from May 2 to May 21." They label "from May 2 to May 21" perhaps intentionally exactly 20 days? Let's inspect: received May 2, filed May 21. If count May 2 as day 1 through May 21 as day 20. In legal time "20 calendar days after debtor receives" often includes day of receipt? Hmm UCC §9-324(e)(1) says "before the debtor receives possession of the collateral" for consumer goods? Actually for equipment, PMSI perfected "within 20 days after the debtor receives possession." Under UCC time periods, "after" excludes event? UCC §1-302? Actually not. But problem prompt says "The 20-day equipment period from May 2 to May 21." They probably intend filing by May 21 is within 20 days? Need parse. It says "rule: no later than 20 calendar days after debtor receives possession." Facts: received May 2. Filed May 21. "The 20-day equipment period from May 2 to May 21." Wait they perhaps intend May 2 + 20 calendar days = May 22? But statement "from May 2 to May 21" if inclusive gives 20 days. Need decide. But final can say filed on May 21, within 20-day period (whether counted May 2 as day 1 through May 21 or deadline May 22), so PMSI equipment perfected timely. Need not pinpoint deadline maybe.

Need priority in CNC line and allocation of $650k. Precision has PMSI in equipment that attached and perfected by May 21. Has priority over Atlas earlier blanket. The CNC secures unpaid purchase-money obligation $620,000? Need purchase-money obligation includes financed balance $700k reduced by payments? At default unpaid equipment obligation $620k. Because down reduces obligation; PMSI status for financed balance. Precision priority extends to unpaid purchase-money obligation and identifiable proceeds under applicable rule. Equipment not sold? It's collateral, foreclosure value $650k. Precision gets $620k, surplus $30k to Atlas? Rule 8: senior creditor receives collateral value only up to outstanding secured debt; any surplus passes to next-priority creditor. Atlas is next-priority? Need Atlas has blanket lien and is earlier. Yes after Precision's PMSI, Atlas has second priority but maybe senior to no one. It gets surplus $30k against Atlas debt. Precision has no remaining equipment balance. Atlas remaining after allocation? We'll track.

Inventory: Precision sold 40 robotic welding units for resale for $1,200,000, all financed under authenticated inventory security agreement. Wait "all financed" maybe no down payment for inventory? It says all financed under authenticated inventory security agreement. Unpaid inventory obligation to Precision at default is $900,000. Need purchase-money? Precision is purchase-money seller; financed balance maybe $1.2M, some paid/sold, remaining balance $900k. PMSI in inventory. Rule for inventory super-priority over earlier inventory lien: before debtor receives inventory, PMSI creditor both perfects and sends authenticated notice to holder of conflicting filed inventory lien. Here Precision filed June 9; ForgeSpan received all 40 units June 10; notice emailed/authenticated June 11 and received that day. So notice was not before receipt for June 10 shipment. It is after. They argue filing before receipt enough and notice relate back one day. Under rules, no relation back; late inventory notice doesn't satisfy for inventory already received; may satisfy notice condition for later shipments while notice remains effective. No later shipments. Therefore Precision did NOT obtain inventory PMSI super-priority for any of the 40 units? Need analyze whether without super-priority, Precision has a security interest but subordinate to Atlas. It perfected by filing on June 9, after Atlas's Jan filing. Priority ordinary: first to file or perfect. Atlas filed Jan 3 before Precision's June 9, so Atlas has priority. For inventory collateral, earlier blank lien beats later PMSI unless PMSI conditions met. Since PMSI super-priority not satisfied, Atlas has priority in 30 remaining units and cash proceeds. But need be precise: Is Precision's security interest attached/perfected but subordinate? Yes. Its inventory FS describes inventory; filing after attachment? maybe before receipt; but attachment? Did debtor have rights in collateral? For future inventory maybe attachment when debtor gets rights (received June 10). Filing June 9 before attachment is permitted; filing date established when attachment occurs. Perfects upon attachment? Actually filing before attachment; perfection occurs when both filing exists and attachment occurs? Security interest attaches and perfection "dates" from filing? Rule 9: filing before attachment permitted and establishes filing date once interest attaches. So Precision's interest attaches June 10 when debtor received units (assuming value given and security agreement describes); perfected? Since valid financing statement filed, perfection dates June 9? Hmm Rule 9 says filing before attachment permitted and establishes filing date once interest attaches. Ordinary priority between conflicting perfected interests goes to party that first filed or perfected. Atlas filed Jan 3, so earlier. Even if Precision perfection "relation back" to June 9, after Atlas, subordinate. If "first filed or perfected": Atlas Jan 3 filed before Precision. Good.

Need evaluate PMSI inventory: It required both perfect and send notice before debtor receives inventory. Here it perfected June9 before receipt; failed notice, because notice June11 after receipt. The prompt "Precision argues that filing before inventory receipt should be enough and that June 11 notice should relate back one day." Under rules, both arguments rejected? Need explain: filing before receipt addresses one requirement; notice still mandatory and timely notice not given. Late notice cannot relate back for inventory already received. No later shipment after notice, so no super-priority over any of the 40 units or proceeds. There is no "cure" for notice as to June 10 receipt. Need mention if notice effective for later shipments, but none.

Now allocation.

Collateral: CNC line $650k. 30 remaining inventory units produce $750k at foreclosure. Cash proceeds $260k identifiable from 10 sold units. Total supplied collateral value = 650 + 750 + 260 = $1,660,000. Atlas debt = $1,800,000. Precision secured claims: equipment $620k; inventory $900k. But total claims maybe $1.52M. Atlas claims $1.8M. Need allocate based priority.

We need decide priority in cash proceeds. Inventory sold before default: The 10 units were inventory. Atlas's earlier blanket lien covers inventory and proceeds, and because Precision lacks PMSI super-priority, Atlas has priority in the sold units? Need consider Precision's security interest in inventory and proceeds maybe attached? It is perfected, but subordinate. So Atlas gets the $260k cash proceeds first? What about Precision's purchase-money security interest in inventory (if no super-priority) is junior to Atlas. Does ordinary priority under first-filed cover proceeds? Yes. But need "purchase-money priority extends only to unpaid obligation and identifiable proceeds to extent applicable super-priority rule covers proceeds"; since no inventory PMSI, no super-priority. Ordinary priority: Atlas filed first, then Precision filed June9. Atlas's Jan filing covers proceeds. Thus Atlas has priority over the cash proceeds. But is there any "identifiable cash proceeds" under lowest-intermediate-balance; it remains proceeds of sold inventory. Atlas's blanket lien includes proceeds. So Atlas gets $260k.

What about 30 remaining units: Atlas first priority. Atlas gets $750k (or up to debt; debt ample). Precision junior gets nothing from those units because Atlas's secured debt not fully satisfied? Rule 8: senior creditor receives collateral value only up to its outstanding secured debt. Atlas debt huge; no surplus. Therefore Atlas receives $750k. Precision gets $0 from remaining units and $0 from cash proceeds? Let's think if Precision has junior interest in the 30 units; if collateral value $750k and Atlas debt after prior allocations maybe? We need allocation order maybe Atlas's debt reduced by CNC surplus? There are multiple assets. Need not reduce per collateral? In foreclosure of each collateral, Atlas's outstanding secured debt at that time maybe initially $1.8M; as it receives distributions from other collateral, its secured claim reduces, but if assets are sold simultaneously, distribution of surplus to next priority after each item's senior debt not exceed "outstanding secured debt" at time? Rule 8 says senior creditor receives collateral value only up to its outstanding secured debt. We must determine final total? Usually priority in each collateral: senior secured creditor has first claim to each collateral, up to total secured debt. If multiple collateral, first-priority creditor may allocate. After receiving enough to satisfy debt, surplus to junior. Here Atlas debt $1.8M > total collateral $1.66M; so Atlas will receive all collateral until debt satisfied; no surplus. Since total collateral less than Atlas debt, all collateral goes to Atlas. Precision gets nothing under collateral? But wait Precision has PMSI equipment priority over Atlas for CNC, so for CNC, Precision is senior to Atlas and gets $620k from CNC, leaving $30k to Atlas. That reduces Atlas debt to $1.77M. Inventory collateral total $1.01M, still less than Atlas debt $1.77M, so Atlas gets all inventory/cash proceeds. Total Atlas = $30k + $1.01M = $1.04M. Precision = $620k. Is that plausible? But what about Precision's inventory claim $900k? It gets no collateral due to late notice, leaving secured? It has a security interest but subordinate; if no collateral value after Atlas? Is it unsecured? Let's explore.

Important: A security interest can be junior secured; if collateral insufficient to satisfy senior, junior gets nothing; the unpaid balance of the junior creditor is unsecured? In secured transactions, after foreclosure, if security interest attached and debt, but no collateral remaining, creditor can pursue debtor for deficiency unless agreement? Yes usually. Need answer "remaining secured or unsecured balances after allocation." For Precision, equipment claim $620k satisfied; inventory claim $900k remains? It might remain "secured" if there are other assets? But in "supplied collateral", no. Since inventory collateral exhausted by Atlas and Precision has no priority, Precision retains a security interest in collateral? Wait if Atlas forecloses and sells collateral, junior security interest may attach to proceeds? Need "remaining secured or unsecured balances" maybe classify as unsecured deficiency because no collateral value received. But if collateral was sold by senior, security interest in collateral likely terminated; the debt is still owed but unsecured. The problem asks remaining secured or unsecured balances after allocation. Need list.

But hold on: Even without PMSI priority, could Precision have purchase-money security interest that is "perfected" and ordinary priority? Since Atlas filed first, Atlas has priority, but "first to file or perfect" priority among perfected: Atlas filed Jan 3; Precision filed Jun 9. Could Precision's PMSI equipment be "purchase-money" and has priority over earlier blanket due to 20-day rule. Yes.

Need determine total dollars each creditor receives "from the supplied collateral" after considering priorities. But if Precision has priority in CNC line only up to $620k, receives $620k; Atlas receives CNC surplus $30k + 30 units $750k + cash proceeds $260k = $1,040,000. Precision receives $620,000. Total = $1,660,000. Atlas is owed $1,800,000, receives $1,040,000; remaining $760,000 unsecured deficiency (unless has other collateral not at issue). Precision is owed: equipment $620k and inventory $900k = $1,520,000, receives $620k, remaining $900k unsecured deficiency? But is Precision's inventory claim still "remaining secured" if no foreclosure? Let's parse.

Wait, we need be careful: Precision's equipment PMSI priority "extends only to the unpaid purchase-money obligation and identifiable proceeds to extent applicable super-priority rule covers proceeds." For equipment, the CNC line is collateral not proceeds? It yields $650k at foreclosure. Precision gets $620k of it. The remaining $30k goes to Atlas because Precision has priority only up to outstanding secured debt. Good.

Inventory: If Precision failed to perfect before receipt? It did perfect before receipt, but notice late. It has a perfected non-purchase-money? Actually it is purchase-money but not super-priority. The security interest is perfected. Under ordinary first-to-file, Atlas first. Does Atlas's blanket lien cover inventory "all present and future equipment, inventory, and proceeds" yes. Precision's later PMSI is junior. So Atlas gets first $750k from remaining units and $260k proceeds. Since Atlas debt after CNC? Let's compute if allocation order matters: If you allocate CNC first, Atlas's outstanding secured debt when valuing inventory units is $1.8M - $30k? Actually Atlas receives $30k from CNC, so debt reduced to $1.77M. Inventory total $1.01M; Atlas still owed $1.77M so takes all. If allocate inventory first, Atlas gets $1.01M; debt reduced to $790k; then CNC: Precision gets $620k because PMSI senior; surplus $30k to Atlas; Atlas total $1.04M. Same. Good.

But the $260,000 cash proceeds: Are they "identifiable cash proceeds" and do they also maybe not "from supplied collateral" because 10 units sold, but remaining 30 units and CNC. Yes supplied collateral includes inventory sold and proceeds. The cash proceeds may be in debtor's account and may be subject to Precision's purchase-money security interest? Need maybe PMSI in inventory can cover proceeds if it had satisfied conditions? It failed. But ordinary PMSI not super-priority? A PMSI has no inherent priority over prior security interest; it's still subordinate. But does a security interest in inventory collateral automatically attach to proceeds under security agreement? Need fact: Precision's inventory security agreement likely covers proceeds? The rule 6 says purchase-money priority extends to unpaid purchase-money obligation and identifiable proceeds to extent applicable super-priority rule covers those proceeds. But ordinary security interest maybe includes proceeds if security agreement describes? The facts don't specify Precision's agreement includes proceeds. However under Article 9, a security interest in collateral includes proceeds unless parties agree otherwise. The problem's rule? It only states "When a debtor sells inventory, identifiable cash proceeds are amount traceable..." It doesn't explicitly say Precision's security interest covers proceeds. But the assignment asks priority in cash proceeds. They likely assume Precision's inventory security interest covers proceeds. But even if it does, it is junior. The cash proceeds from sale of 10 units: if those units were sold in ordinary course, could buyer take free of security interests? But cash proceeds remain. Atlas and Precision have claims to proceeds. Need no issue.

Need perhaps analyze whether "Precision's filing against inventory on June 9" was before "debtor received all 40 units on June 10"; so it perfected before receipt. But it sent notice on June 11. The rule requires "both perfects and sends notice before the debtor receives the inventory." If "before debtor receives the inventory" modifies both perfects and sends. Filing before receipt, notice not. Late notice cannot relate back. There were no later shipments, so no portion qualifies. Maybe we should articulate: Even if the June 11 notice is effective and remains effective for future shipments, it came after the only delivery; so it satisfies neither condition for the 40 units. Since no later inventory shipment, all 40 remain subject to Atlas's earlier blanket lien. Therefore Precision has no inventory PMSI super-priority.

Need maybe discuss "The 20-day equipment period from May 2 to May 21." They ask "The 20-day equipment period from May 2 to May 21." Could be they want "The equipment PMSI period is 20 days; here Precision filed May 21, 19 days after May 2? Actually if counting from May 2 to May 21 as 20 days, timely." Let's dig into date counting. We need maybe state "May 21 is within the 20-calendar-day window after May 2 (the deadline was May 22 if one excludes May 2; in any event the facts treat May 2–May 21 as the 20-day period)." Hmm final maybe include no need to debate but to reassure. Let's analyze UCC counting thoroughly.

The prompt says: "3. A purchase-money security interest in equipment has priority over an earlier blanket lien if the purchase-money creditor perfects no later than 20 calendar days after the debtor receives possession of the equipment." Then facts: Possession May 2; filed May 21. Prompt specifically Assignment: "* The 20-day equipment period from May 2 to May 21." That likely means there are 20 days between those dates? Let's compute inclusive vs exclusive. Let's determine legal UCC deadline under UCC §9-324(e)(1) "within 20 days after the debtor receives possession" maybe period begins day after receipt? Under §1-302? Actually the Uniform Commercial Code §1-302? Let's recall: UCC §1-302? "Time periods" in Revised Article 1: Section 1-302? No, UCC §1-203? Let's recall UCC §1-302 is variation by agreement; §1-303 course of performance; §1-304; §1-305; §1-306; §1-307; No. Time computation UCC §1-302? Hmm.

General legal time: UCC §1-106? "The time within which an act is to be done is computed by excluding the day from which the time begins to run and including the last day; if last day is Saturday/Sunday/holiday, performance may be next business day." Actually Revised UCC §1-302? maybe "Unless otherwise provided, time period is computed under (a) exclude day of event; (b) include last day; (c) if last day not business day, next business day." Let me recall: UCC §1-302? Wait in Revised Article 1, §1-302 is "Variation by Agreement"; §1-303 Course of Performance; §1-304 Obligation of Good Faith; §1-305 Remedies to be Liberally Administered; §1-306 Waiver/Renunciation; §1-307 Prima Facie Evidence; §1-308 Performance or Acceptance Under Reservation of Rights; §1-309 Option to Accelerate; §1-310 Subordinated Obligations. Time computation maybe §1-302? Actually no, maybe §1-302 "Time periods in this Act"?? Let's search memory.

UCC General Provisions:
§1-101 Short Title
§1-102 Scope
§1-103 Construction
§1-104 Construction Against Implicit Repeal
§1-105 Severability
§1-106 Use of Singular/Plural, Gender
§1-107 Section Captions
§1-108 Relation to Electronic Signatures
§1-109 Section to Be Interpreted
Part 2 General Definitions and Principles
§1-201 General Definitions
§1-202 Notice; Knowledge
§1-203 Notice to Person
§1-204 Value
§1-205 Reasonable Time; Seasonableness
§1-206 Presumptions
Part 3 General Obligation and Construction
§1-301? "A course of performance..."
Actually Revised Article 1 is:
§1-301 "Limitation on Scope"?
§1-302 "Variation by Agreement"
§1-303 "Course of Performance, Course of Dealing, and Usage of Trade"
§1-304 "Obligation of Good Faith"
§1-305 "Remedies to Be Liberally Administered"
§1-306 "Waiver or Renunciation of Claim"
§1-307 "Prima Facie Evidence"
§1-308 "Performance or Acceptance Under Reservation of Rights"
§1-309 "Option to Accelerate at Will"
§1-310 "Subordination Obligations"
No time computation? Maybe in §1-302? Hmm.

Common UCC time periods: "20 days after" in Article 9, official comment? There are cases: Under "within 20 days after the debtor receives possession", if debtor receives on May 2, the 20-day period begins the next day? Usually "within 20 days after" includes until end of day 20; deadline May 22. But many assignments count from date to date: May 2 through May 21 equals 20 days? Let's count inclusive: May 2,3,...,21 = 20 days because 21-2+1=20. But phrase "within 20 days after May 2" excludes May 2; last day May 22. Let's check if UCC counts day of "after" excluded. In ordinary language "not later than 20 days after the day you receive" means if receive May 2, May 22 is 20 days after? Actually May 2 to May 22 is 20 days difference. Wait: Date difference between May 2 and May 22 = 20 days. So "May 22" is "20 days after May 2." If "by May 21" would be 19 days after. In legal counting, exclude May 2, include May 22. Thus deadline May 22, not May 21. But the prompt in assignment says "The 20-day equipment period from May 2 to May 21." It might be mistaken? Let's count if "from May 2 to May 21" as 20 calendar days? It is 19 days after, but including both endpoints is 20 "calendar days" if one counts the start day. But rules "no later than 20 calendar days after" could be interpreted by nonlawyer as inclusive count; if possession on May 2, day one May 2, day twenty May 21. They explicitly "from May 2 to May 21" maybe they think filed on day 20. We need answer according to supplied rule. To avoid contradiction, say "Filing on May 21 is timely—it is at most 20 calendar days after receipt under the facts’ stated counting." But if the exact UCC statutory deadline would be May 22, then even more timely. We can state "even excluding May 2, May 21 is no later than the 20th day/within 20 days." Wait if excluding, May 21 is 19th day, so timely. So final can say "timely (May 21 is within the 20-day period; if counting the day of receipt as day 1, it is day 20; excluding it, it is day 19 and the deadline is at least May 22)." But maybe too much? desired oververbosity 5; maybe not.

Need perhaps consider "all filings and collateral descriptions are otherwise valid." Means Precision's FS covers equipment and inventory; both attached and perfected. No issue.

Need maybe discuss "Atlas later advanced funds under a valid security agreement" but filed before attachment; perfects on attachment? It filed valid financing statement before debtor had rights? For Atlas, debtor later acquired rights and agreement; its interest attached; perfection dates Jan 3? Rule 9 "filing before attachment permitted and establishes filing date once security interest attaches." Thus Atlas's filing date Jan 3. Need mention.

Potential nuances:

- "Between conflicting perfected security interests, priority ordinarily goes to party that first filed or perfected." Atlas filed Jan 3. Precision filed June 9, but filing before attachment; its perfection date is June 9 (or at attachment but filing date June 9). Atlas first. However for equipment PMSI, rule 3 overrides ordinary first-to-file. For inventory, PMSI rule 4 overrides only if both pre-receipt perfect and notice. Notice failed, so ordinary first-to-file decides; Atlas wins.

- Is Precision's inventory security interest "purchase-money" and does it secure $900k? It sold 40 units for resale for $1.2M all financed. "At default, unpaid inventory obligation to Precision $900,000." We need assume purchase-money priority extends to unpaid purchase-money obligation; if no priority, not relevant. But the debt remains. It might be partially from sold units? Let's think: It sold 10 units. The unpaid inventory obligation to Precision is $900,000 at default. What is the purchase-money obligation attributable to remaining units? PMSI priority if existed could extend only to unpaid purchase-money obligation and identifiable proceeds, but inventory total purchase price was $1.2M. The unpaid $900k likely includes financing for both sold and remaining. If PMSI existed, it would cover all inventory and proceeds? Need not because no priority. But maybe for allocation, if Precision had no super-priority, can Atlas take both units and proceeds even if sale of 10 units created cash proceeds and the 10 units are no longer in debtor's possession? Yes.

- Could Precision's late notice for inventory be effective as to "future inventory" if no later shipment. There were no later shipments. The rule says "It may satisfy the notice condition for later shipments while the notice remains effective." No later shipments, so no super-priority for all 40. Could "units not yet received" on June 10? All 40 received on June 10 before notice; no. Maybe "receives all 40 on June 10"; if delivery occurred over time? "all 40" same day. no.

- Down payment for CNC: Rule 10: down payment reduces purchase-money obligation but does not defeat PMSI status for financed balance. So Precision's PMSI covers $700k initial, later reduced by payments to $620k. It does not cover $200k down (not financed). Since equipment value $650k, it covers claim $620k. If equipment value greater than claim, surplus to junior. Good.

- "A senior creditor receives collateral value only up to its outstanding secured debt. Any surplus passes to next-priority creditor." For CNC, Precision is senior as PMSI; receives up to outstanding equipment obligation $620k; collateral $650k, surplus $30k goes to Atlas (next priority). Atlas's outstanding debt remains sufficient, so it gets surplus. For inventory, Atlas is senior; receives collateral value up to $1.8M total outstanding secured debt (or remaining debt). Since total collateral from inventory and CNC surplus less than debt, all allocated to Atlas.

Potential issue: In allocation, should inventory cash proceeds from 10 sold units be allocated first to Precision's "purchase-money" status because cash proceeds from sale of inventory are proceeds, and maybe equipment PMSI? Let's check rule 6: "Purchase-money priority extends only to the unpaid purchase-money obligation and identifiable proceeds to the extent the applicable super-priority rule covers those proceeds." This sentence could mean for inventory PMSI, if it had satisfied pre-receipt requirements, super-priority extends to proceeds (cash proceeds) to extent applicable rule covers. It failed so no.

But ordinary priority in proceeds: If debtor sells collateral, a perfected security interest in collateral has priority in identifiable proceeds over conflicting interests in proceeds? Under first-to-file rule for proceeds maybe Atlas's filing covers proceeds; its filing date Jan 3; Precision's "proceeds" maybe if its financing statement does not cover proceeds? The rule 7 says "When a debtor sells inventory, identifiable cash proceeds are the amount traceable under the lowest-intermediate-balance method supplied in the facts." It doesn't say both creditors have claims, but likely yes. Need maybe note Atlas is first to file with a proceeds clause. Precision's security interest in sold units extended to the 10 units; because no super-priority, Atlas has priority in the sold units and their proceeds. No issue.

Need maybe "costs of sale no deducted" means don't offset.

Let's perhaps produce final answer structure:
1. Attachment/perfection summary
2. Equipment priority and allocation
3. Inventory PMSI/notice
4. Priority in remaining units and cash proceeds
5. Total distributions and remaining balances
6. Precision's litigation position and forward guidance

Need include calculations.

Let's compute totals:

Collateral:
- CNC line: $650,000.
- 30 remaining robotic welders: $750,000.
- Cash proceeds: $260,000.
Total: 650,000 + 750,000 + 260,000 = 1,660,000.

Precision claims:
- Equipment: $620,000 (secured by CNC with PMSI super-priority).
- Inventory: $900,000 (perfected but junior/no PMSI super-priority).
Total Precision claims: $1,520,000.

Atlas claim: $1,800,000 (secured by blanket lien; maybe priority subordinate to Precision as to CNC? Actually senior to Precision as to inventory).

Distributions:
- CNC: Precision $620,000; surplus $30,000 to Atlas.
- 30 units: Atlas $750,000.
- Cash proceeds: Atlas $260,000.

Atlas total = 30,000 + 750,000 + 260,000 = 1,040,000.
Precision total = 620,000.
Total distributed = 1,660,000.

Remaining:
- Atlas deficiency = 1,800,000 - 1,040,000 = 760,000 (unsecured, assuming no other collateral; or "remaining secured claim if other collateral exists"? Need phrase). Could Atlas's claim be "remaining secured" because it has blanket lien maybe on all debtor assets but only supplied collateral not enough. Under rule, after allocation, remaining balance is unsecured deficiency. It may still have other collateral but not in assignment. So say "in this assignment / from supplied collateral."
- Precision: equipment balance 0; inventory balance remains 900,000. Is it "unsecured deficiency" because the inventory collateral was allocated to Atlas and Precision received nothing. But wait, if Atlas's security interest has priority, Precision might still have a junior security interest in the inventory units if Atlas doesn't foreclose? But if Atlas receives collateral value "from supplied collateral", Precision's interest in that collateral is extinguished by senior foreclosure? In bankruptcy or foreclosure, junior gets surplus only; no surplus. Therefore its $900k becomes an unsecured deficiency claim against ForgeSpan, unless it has other collateral not supplied. Since it is already owed by debtor. But does Precision's perfected security interest in inventory make it "secured" up to $900k despite subordination? It is "secured" in a technical sense as against debtor and third parties, but in this priority dispute/foreclosure it gets no recovery. The assignment asks "Remaining secured or unsecured balances after allocation." Should we say "Precision's $900,000 inventory debt remains unpaid; because the collateral has been applied to Atlas's senior claim, it is an unsecured deficiency in this foreclosure." However, until a foreclosure sale occurs, a junior lien isn't necessarily extinguished if there is equity; but no equity. If Atlas does not foreclose, Precision may still have security interest. But in final distribution, it is "remaining secured or unsecured balances" likely need classify. Let's think.

"Remaining secured or unsecured balances after allocation" in many secured transactions problems: After allocation, if a creditor's claim is not fully paid from collateral, the remaining balance is unsecured. For a secured creditor whose collateral is insufficient, the unpaid balance is unsecured deficiency. That's what to state. For Precision, its equipment secured claim paid in full; its inventory secured claim got no collateral and remains a $900,000 unsecured deficiency (because the inventory collateral was consumed by senior creditor). But is a secured creditor who has a security interest in collateral that was sold by senior creditor? Under UCC, if senior forecloses, junior's security interest attaches to proceeds of sale? Actually if senior sells collateral at foreclosure, junior's security interest may attach to the "proceeds" of the senior's foreclosure sale? Article 9: A secured party's disposition transfers title to the buyer free of subordinate interests; junior's security interest attaches to proceeds of the disposition (unless creditor fails to comply). The proceeds of foreclosure sale are used to pay expenses and senior; no surplus; so junior claim is extinguished as to collateral and becomes? It has claim against debtor for deficiency (unsecured) but if the senior disposition was commercially reasonable and junior was notified, no recourse to collateral. For assignment, no costs; okay.

But maybe Precision's inventory claim is "secured" by the inventory because it perfected; although subordinate, but if Atlas receives only up to $1.8M and total Atlas claim not fully paid, Precision gets nothing. It remains an obligee with a security interest but no priority; it could still be "secured" in a second-lien sense. The term "remaining secured or unsecured balances" asks maybe "After allocation, each creditor's remaining secured/unsecured balances." Need maybe avoid overstating "unsecured" if in rem security not formally extinguished? Let's inspect wording: "Total dollars each creditor receives from the supplied collateral. Remaining secured or unsecured balances after allocation." This could imply we should say:
- Precision: Total claims $1,520,000; receives $620,000; remaining claim $900,000 (unpaid, not secured by supplied collateral / junior inventory claim).
- Atlas: Total claim $1,800,000; receives $1,040,000; remaining claim $760,000.
Need perhaps label "unsecured deficiency (from supplied collateral)." Good.

Potential nuance: Could Atlas's claim also have priority over Precision's equipment PMSI if Precision failed to perfect within 20 days? It didn't. Need maybe mention attachment date vs perfection. For equipment:
- Attachment: value given, debtor had rights in CNC on May 2 (delivery and agreement), authenticated equipment security agreement; attaches on May 2.
- Perfection: filing on May 21; valid; perfected on May 21 (assuming no earlier? Actually filing before attachment not for equipment; after attachment). Under 20-day grace period, timely.
- Because PMSI filed within 20 days after possession, it has priority over Atlas, even though Atlas filed Jan 3. It has priority only for $620k; down payment not financed.

For inventory:
- Attachment: The inventory agreement existed and value given; ForgeSpan had rights June 10; attaches then. Perfects? Filing June 9 before receipt is permitted; perfection "dates" from June 9 once attachment occurs. But notice failed.
- The PMSI in inventory is not entitled to priority over Atlas because PMSI notice was not sent before the debtor received the units. The fact that Precision filed before receipt doesn't eliminate notice requirement. "Relate back one day" rejected; rules contain no relation back for late inventory notice.
- The June 11 notice is not meaningless always: it would satisfy the notice requirement for inventory received after June 11 while it remains effective (unless new requirement? It remains effective generally for five years? But no later shipments happened). So it does not cover June 10 units.

Need maybe discuss "Atlas's January 2025 blanket filing defeats every Precision interest" as litigation position: Atlas's broad statement is too broad; it does not defeat the equipment PMSI because that has statutory priority. It does defeat the inventory PMSI due to late notice. Precision should concede inventory PMSI? The concrete litigation position: Precision should assert it is entitled to the CNC line to the extent of $620k (and maybe $30k surplus due to Atlas), but cannot claim inventory units/cash proceeds as super-priority. It can argue the June 11 notice is effective for any later shipments. It may also argue if future shipments are at issue, send notice before debtor receives them. But because there are no later shipments, Atlas is senior.

Need maybe "Precision's concrete litigation position and change needed for future inventory shipments." The concrete litigation position:
- As to CNC equipment: Precision has priority over Atlas under equipment PMSI rule; it should recover $620,000 from CNC sale, with $30,000 surplus to Atlas.
- As to robotic welding units and proceeds: Precision must argue? It may be "we filed before receipt and notice one day late should be enough"; but under facts/law this is not a winning position. It should not claim the $750,000 or $260,000; those go to Atlas. Actually if "Precision argues that filing before inventory receipt should be enough and that the June 11 notice should relate back one day" — the assignment asks "Precision's concrete litigation position and change needed for future inventory shipments." Maybe perhaps "Precision should argue that it substantially complied? The notice was one day late; court should not allow Atlas windfall? But governing law says no relation back. Its best possible position is: it satisfied the first pre-receipt requirement; the notice was only one day late and there were no intervening creditors? Wait, the notice condition's purpose is to alert the earlier inventory lender; Atlas did receive notice before default, but after delivery. Does the rule require before receipt? Yes. Under "strict compliance" no. There is no equitable relation back. Therefore, Precision should not waste resources on inventory priority for the delivered units; should concede. But maybe as a litigation position, it can argue the notice "relates back" because it was only one day late and Atlas received it before any new advance? Does UCC permit "within reasonable time" for inventory notice? No, must "before" delivery. The prompt explicitly says late notice does not relate back. So no.

- Change needed for future shipments: Precision must send authenticated notice to Atlas (the holder of conflicting filed inventory lien) before the debtor receives each shipment; and maintain perfected status before receipt; also file before delivery; and the notice should describe the inventory (though supplied facts all valid). If it does this, future inventory PMSI will be senior to Atlas. Need mention continue filing. And maybe in security agreement and FS identify inventory as purchase-money? Since filing valid. Need send notice "before shipment" not just file. Perhaps maintain a procedure to give notice at or before order/delivery; if ongoing shipments, one notice can cover future shipments while effective, if sent before first shipment? Let's analyze "while notice remains effective." Under UCC, an authenticated notice to the holder of conflicting security interest is effective for 5 years? Actually for inventory PMSI, notice must be "received" by holder within five years before debtor receives possession" maybe? The prompt simplified: "It may satisfy the notice condition for later shipments while the notice remains effective." So if Precision sends notice now, it may satisfy for later shipments while effective. Need state: If it plans more deliveries, send notice before delivery; a notice sent before the first future shipment can cover subsequent shipments within its effective period? It says "It may satisfy notice condition for later shipments while notice remains effective." So yes.

Need maybe "the change needed" maybe "file and send notice before delivery, not after; one-day late notice doesn't relate back; no amount of filing before delivery can cure notice failure for inventory." Good.

Now let's examine possible alternate interpretation: Is the inventory notice required "before the debtor receives the inventory" but Precision "filed against inventory on June 9; ForgeSpan received all 40 units on June 10; Precision emailed notice to Atlas on June 11." The rule says "before the debtor receives the inventory, the purchase-money creditor both perfects and sends an authenticated notice to the holder." "Sends" maybe if sent on June 11, no. What if "sends" occurs before receipt? no.

Need maybe "filing before attachment" rule: For inventory, Precision filed June 9 when no attachment yet. "A security interest attaches when value is given, debtor has rights, and agreement" — ForgeSpan did not have rights until June 10. "Filing before attachment is permitted and establishes the filing date once the security interest attaches." Thus Precision perfected on June 10? Does that matter for PMSI inventory's "perfects before receipt": It filed before receipt but if perfection only occurs upon attachment on June 10, at same time as receipt, is that "before debtor receives"? Let's parse. Rule 9 says filing before attachment permitted and establishes filing date once security interest attaches. Perfection of a security interest in collateral: If a financing statement is filed before attachment, is the security interest "perfected" upon attachment, not before. The inventory PMSI rule requires "before the debtor receives the inventory, the PMSI creditor both perfects and sends notice." Precision filed on June 9, but because the debtor had no rights until June 10, attachment/perfection arguably occurred on June 10. If perfection occurs upon delivery/possession, could it be "before" receipt? The exact moment? It might be simultaneous. But the prompt states "Precision filed against the inventory on June 9. ForgeSpan received all 40 units on June 10." They probably want to treat filing before receipt as satisfying perfection requirement? Hmm rule 9 says "Filing before attachment is permitted and establishes the filing date once the security interest attaches." For ordinary priority, filing date before attachment counts. For PMSI inventory, "the purchase-money creditor both perfects and sends notice before the debtor receives the inventory". If filing before attachment is permitted, does "perfects" occur on filing date or attachment? Actually under UCC, "perfection" can occur upon filing; a filing may perfect even before attachment? There is concept: a filed financing statement is effective to perfect a security interest only if it is effective financing statement, but if no security agreement yet, filing may be "perfected" when the secured party gives value and debtor rights? Let's recall UCC §9-308(a): "A security interest is perfected if it has attached and all of the applicable requirements for perfection in this part have been satisfied. A security interest is perfected when it attaches if the applicable requirements are satisfied before the security interest attaches." Thus perfection arises at attachment if requirements satisfied before attachment. So if filing June 9 and attachment June 10, perfection occurs June 10 upon attachment. But the "filing date" for priority is June 9. For PMSI inventory condition "before the debtor receives" and "perfects" maybe cannot be satisfied before attachment/rights; but if filing before receipt, it satisfies perfection at the moment it attaches. If attachment occurs when debtor receives, is that before receipt? It is simultaneous. The UCC "purchase-money security interest in inventory ... if ... before the debtor receives possession ... the security interest is perfected" maybe how to satisfy when debtor has no rights before receipt? Actually Article 9 has odd rule for PMSI in goods "the purchase-money secured party perfects before or within 20 days after debtor receives possession" for equipment; "before debtor receives" for inventory. But a debtor cannot have rights before receiving possession? It can have rights in goods before possession (e.g., contract, title, identification), and attachment may occur before receipt; UCC §9-203(b) says debtor has rights in collateral; for goods, rights may arise before possession. But under facts, "ForgeSpan received all 40 units" maybe rights then. However the prompt has already told "Filing before attachment is permitted and establishes the filing date once the security interest attaches." It likely means Precision's filing on June 9 counts as filing/perfection before receipt for the first requirement, even if attachment on June 10. They want to isolate notice failure. So don't conflate.

Need maybe mention "For inventory, although the financing statement was filed before delivery and can perfect at attachment, the second, separate pre-receipt notice requirement was not met." Good.

Need maybe "Atlas Bank filed a valid financing statement Jan 3 but later advanced under security agreement; its interest attached when later advance and debtor had rights. Its filing date is Jan 3 for priority." Good.

Potential issue: "Atlas later advanced funds under a valid security agreement." Was Atlas's security interest perfected at filing before attachment? Under Rule 9 filing before attachment permitted and establishes filing date once interest attaches. Its attachment maybe when it advanced and debtor had rights. Fine.

Potential issue: "Atlas Bank filed a valid financing statement covering all present and future equipment, inventory, and proceeds of ForgeSpan Manufacturing." It covers proceeds and future equipment/inventory. "No costs of sale deducted" avoids adjusting sale value.

Let's think if "Precision sold ForgeSpan a CNC production line for $900,000. ForgeSpan paid $200,000 down and Precision financed $700,000 under an authenticated equipment security agreement." The down payment reduces amount financed, but does "purchase-money security interest" include the $200k unpaid? no. It covers "purchase-money obligation" = $700k principal. At default, $620k unpaid. Because $650k value, Precision gets 620. Some might argue the $30k surplus should go to ForgeSpan (debtor) if Atlas junior? But Atlas has blanket lien; as next-priority creditor under rule 8, gets surplus. Good. If no other senior, surplus to debtor after all secured parties? Rule 8 says next-priority creditor, not debtor. In a foreclosure, after all secured claims, surplus to debtor. Here Atlas is next-priority, not debtor; it has claim but collateral insufficient overall. So Atlas gets $30k. Good.

Potential issue: "A senior creditor receives collateral value only up to its outstanding secured debt. Any surplus passes to the next-priority creditor." For equipment, Precision is senior as PMSI but only with respect to unpaid purchase-money obligation. Atlas could also have a purchase-money? no. So surplus to Atlas. For inventory, Atlas is senior, but Precision is junior. If Atlas's outstanding secured debt maybe after receiving CNC surplus is $1.77M, still > inventory, so no surplus to Precision. Good.

Potential issue: What about "Precision also sold ForgeSpan 40 robotic welding units for resale for $1,200,000, all financed under an authenticated inventory security agreement." "All financed" maybe no down payment, so PMSI purchase-money obligation is $1.2M originally. At default, unpaid inventory obligation $900k. Since 10 units sold, perhaps the $900k may include some proceeds? We don't know payments. Not necessary. But maybe for allocation, if Precision had lost super-priority, its inventory claim is $900k but the collateral (30 units + proceeds) is $1.01M. If Atlas had only $760k debt after CNC? Wait, Atlas gets $30k from CNC, leaving $1.77M debt. Atlas takes all. But let's see if Atlas's debt might be reduced by "receiving collateral value only up to outstanding secured debt" but if Precision's equipment PMSI is senior, Atlas receives only $30k from CNC because the CNC collateral's surplus is $30k. Does Atlas's claim after that reduce to $1.77M. Then inventory = $1.01M; Atlas receives all; debt remaining $760k. yes.

If allocation order were "Atlas's secured debt should be allocated across collateral before foreclosure"? Not problem.

Potential issue: "Purchase-money priority extends only to the unpaid purchase-money obligation and identifiable proceeds to the extent the applicable super-priority rule covers those proceeds." For equipment, the CNC line itself is not sold; at foreclosure, "proceeds" of disposition? The PMSI in equipment covers equipment; the sale proceeds at foreclosure are proceeds of the disposition, but the rule likely says PMSI priority extends to unpaid obligation. If the equipment is sold and produces $650k, the PMSI's priority in the collateral means it takes up to $620k; not exactly "proceeds" under rule 6? It is collateral disposition proceeds; but because priority follows collateral, yes. Need maybe not confuse.

Potential issue: "identifiable cash proceeds" under rule 7: lowest-intermediate-balance method supplied in facts. We don't compute; $260k given. We just allocate. If there were cash proceeds, they might be subject to bank account deposit account issues? Atlas's FS covers proceeds; Precision's maybe not. No.

Need perhaps write final answer with headings, calculations. Let's draft robustly.

Possible final:

```
Attachment/perfection:
- Atlas: Jan 3 filing before attachment; later agreement/advance; first priority generally as of Jan 3.
- Precision equipment: on May 2, agreement, value, rights; PMSI attaches. Filing May 21 perfects; within 20-day equipment grace period; PMSI outranks Atlas's earlier blanket lien. Down payment doesn't destroy PMSI; PMSI secures $700k financed balance (now $620k).
- Precision inventory: agreement and filing; attachment occurs when ForgeSpan got rights on June 10 (filing before attachment allowed; date for priority June 9). But PMSI super-priority requires pre-receipt perfection AND notice. Failure: notice June 11, after receipt June 10. No relation back. It is a perfected, but junior, inventory interest.
```

Need be precise "PMSI in equipment attaches ... on May 2" but maybe financing statement filed after; attachment doesn't require filing. It attaches if value given and debtor rights; value given maybe when? The agreement was "sold" and "financed"; likely at contract/delivery. We can say "at least by May 2." Good.

```
CNC allocation:
CNC $650,000.
Precision PMSI senior to Atlas up to $620,000 unpaid equipment obligation.
Precision receives $620,000. Surplus $30,000 to Atlas (next priority).
Atlas remaining debt after CNC: $1,800,000 - 30,000? Wait if we subtract only what Atlas receives, remaining debt = $1,770,000. But if we are calculating total later. Need state after CNC, Atlas claim remains $1,770,000.
```
Need be careful "Atlas remaining debt after CNC" if Atlas received only $30,000; yes claim remaining = $1,770,000. Precision equipment claim satisfied = 0.

```
Inventory:
- Requirement 1: perfect before debtor receives: arguably satisfied because filed June 9 before June 10 receipt, and filing before attachment is allowed.
- Requirement 2: send authenticated notice to earlier inventory lienholder before debtor receives: not satisfied; notice sent/received June 11 after June 10 delivery.
- Late notice no relation back and no later shipments after June 11. Therefore no portion of the 40 units gets PMSI priority. Atlas's Jan 3 filing is first and wins over Precision's subsequent inventory filing.

30 remaining units:
$750,000 to Atlas (senior; claim ample). Precision gets $0.
Cash proceeds:
$260,000 to Atlas (proceeds of sold inventory; same priority outcome). Precision gets $0.
```

Wait "Requirement 1 arguably satisfied" — but if perfection occurs upon attachment on June 10 same day, is it before receipt? To be safe: "The June 9 filing would satisfy the perfection/filing component (or at least it is not the reason Precision loses); the notice is the fatal failure." But the rule says PMSI creditor both perfects and sends notice before debtor receives. In final, "even assuming the June 9 filing is enough on the perfection component" maybe.

But if final says "arguably satisfied" could undermine. Better: "Under the supplied rules, Precision's June 9 filing was before delivery and is the type of pre-receipt perfection required; the separate notice requirement is the failure." However, Rule 9 says filing before attachment establishes filing date once interest attaches. If attachment on June 10, precision becomes perfected on June 10. Could "before the debtor receives" not satisfied for perfection because attachment at receipt? But the problem says "Precision argues that filing before inventory receipt should be enough." The supplied rule says "filing before attachment is permitted and establishes the filing date once the security interest attaches." Maybe we can phrase: "Precision has a perfected security interest in the inventory, and its June 9 filing precedes receipt; the only missing pre-receipt step is the required notice." Hmm "perfects before receipt" may be considered not satisfied if perfection only upon attachment? Let's parse exact Article 9: For inventory PMSI, the purchase-money secured party must "perfect" before debtor receives possession? If attachment occurs at delivery, a security interest cannot be perfected before attachment. But UCC has doctrine of "purchase-money security interest" attaches before delivery? Let's verify. Under §9-324(b): "a perfected purchase-money security interest in inventory has priority ... if: (1) the purchase-money secured party perfects its security interest in the inventory before the debtor receives possession of the inventory; and (2) ... notifies..." How can it perfect before debtor receives possession? Because attachment can occur before possession if debtor has rights under contract and security agreement signed before delivery. If debtor has no rights prior, simultaneous may not suffice? But UCC comments: the security interest must be perfected before delivery; the secured party can file financing statement before delivery, but perfection occurs when all conditions including attachment are met. If the security agreement is signed and value given, and the debtor may acquire rights before receipt? It may have a "right" to receive goods under contract. UCC says debtor has rights in goods when it has "rights" under contract? For goods not yet delivered, debtor has a contractual right, but security interest in the specific goods might attach when goods identified? UCC §9-203(b): collateral is not acquired? Need maybe not.

The prompt likely simplified: "Filing before attachment is permitted and establishes the filing date once the security interest attaches." This means if Precision filed June 9 and attachment occurred June 10, filing date June 9 counts for first-to-file; but for "perfects before receipt" maybe at the moment receipt occurs, it perfects? Let's examine "A security interest is perfected if it has attached and all requirements satisfied. A security interest is perfected when it attaches if applicable requirements are satisfied before attachment." If the financing statement was filed before attachment, the "applicable requirements" satisfied before attachment, so when attachment occurs, perfection simultaneously occurs. Does the "before debtor receives possession" condition require perfection before receipt; if attachment occurs only upon receipt, simultaneous perfection at the instant of receipt is not before. But courts likely allow filing before delivery because debtor can have rights before receiving; if not, the PMSI would be impossible for seller to perfect before delivery if debtor rights only on receipt. UCC drafters assume attachment can occur before delivery (debtor has rights in collateral via contract) or perfection occurs at time of filing? Need not resolve because problem states Precision filed before receipt and "all filings valid"; perhaps treat perfection condition met. At the same time, the assignment says "The separate pre-receipt requirements for inventory super-priority" and "Precision argues filing before inventory receipt should be enough" — maybe they want to distinguish "perfect and notice" both before receipt. So I'll say "filing before receipt satisfies the perfection element, but not the notice element." That matches their assumption.

Wait, "Precision argues that filing before inventory receipt should be enough" maybe maybe they argue "we filed before receipt; and notice one day late should relate back one day." The correct: "No, even if perfection by filing before receipt is satisfied, the PMSI rule requires notice before receipt; late notice destroys super-priority for those units." Yes.

Need maybe "Precision's concrete litigation position": It might claim "Atlas's January 2025 blanket filing defeats every Precision interest" is wrong for equipment; correct for inventory. But the assignment says "Precision argues..." not "Atlas argues..." It asks "Precision's concrete litigation position and change needed for future inventory shipments." We can say:
- Precision should frame its position as "PMSI in equipment is timely and senior; we are entitled to $620k from the CNC line; surplus to Atlas."
- For inventory, Precision cannot convincingly claim super-priority because notice was late; it should not contend the late notice relates back. It can, however, preserve the argument that the June 11 notice is effective for future inventory if more shipments are made, and implement pre-shipment notice procedures.

Let's ensure total amounts:
Atlas receives:
- From CNC surplus: $650,000 - 620,000 = $30,000.
- From remaining units: $750,000.
- From cash proceeds: $260,000.
Total = $1,040,000.
Atlas remaining = 1,800,000 - 1,040,000 = 760,000 unsecured deficiency.
Precision receives:
- From CNC: $620,000.
- From inventory: $0.
Total = $620,000.
Precision remaining = equipment 0 + inventory $900,000 = $900,000 unpaid/unsecured deficiency.
Check total claims = Atlas 1.8 + Precision 1.52 = 3.32; distributed 1.66; remaining debt 1.66? Wait total distributed 1.66. Total claims 3.32. Remaining total = 3.32 - 1.66 = 1.66 (Atlas 0.76 + Precision 0.90 = 1.66). Interesting total remaining equals collateral value? Wait because collateral is 1.66, total claims 3.32. If all collateral allocated, total remaining claims = 1.66. yes.

Could Precision's remaining inventory balance be partially "secured" by the 10 units' cash proceeds if Atlas's PMSI failed? No.

Need maybe mention "Precision does not receive the cash proceeds even though they are identifiable; priority follows the collateral, and Atlas has prior claim." Good.

Potential nuance: The "lowest-intermediate-balance method" could identify cash proceeds but if the debtor used cash proceeds to pay Precision? No, remaining cash proceeds $260k. But maybe if cash proceeds are in a deposit account, a security interest in a deposit account may require control, not filing. But the supplied rule says "When a debtor sells inventory, identifiable cash proceeds are amount traceable..." It says "cash proceeds" with lowest-intermediate-balance. But "cash proceeds" could be "cash and cash equivalents"; a financing statement covering proceeds may perfect cash proceeds for 20 days? Article 9 temporary perfection for proceeds; but not supplied. We ignore.

Need perhaps "No costs of sale deducted" means values are net recovery. Good.

Let's think if "identifiable cash proceeds from sales of 10 units" should go to Atlas first or maybe to Precision first as "inventory PMSI's identifiable proceeds" despite no notice? No, no PMSI. If no PMSI, ordinary first-to-file: Precision filed June 9; Atlas filed Jan 3. Atlas first. But does ordinary priority in proceeds maybe differ if Atlas's filing on Jan 3 covers "proceeds" but only if the original collateral was "inventory" and the proceeds are "accounts" or "cash"? yes covers all proceeds. "Atlas Bank filed valid financing statement covering all present and future equipment, inventory, and proceeds" so yes.

Could Precision's inventory PMSI have priority over Atlas's blanket lien if the 10 units were "sold" before default and the buyers took free? Not relevant; proceeds. If Precision had fulfilled notice, its PMSI would have priority in the inventory and identifiable cash proceeds. But late notice means no. Good.

Let's perhaps write "Precision’s filing before delivery plus late notice is not 'enough': the PMSI notice condition is a separate pre-delivery condition, not a mere formality." This answers.

Need maybe "Atlas's January filing defeats every Precision interest" — No: It defeats Precision's inventory interest, but not the equipment PMSI. Actually "every Precision interest" includes Precision's perfected security interest in equipment and inventory. It doesn't "defeat" the perfected status; it defeats priority? Let's phrase "as to the equipment, Atlas's blanket lien is subordinate to Precision's PMSI; as to the inventory, Atlas has priority." Good.

Let's craft final with a concise intro.

Potential final:

```
Under the supplied rules, Precision gets $620,000 from the CNC equipment and nothing from the inventory or its proceeds. Atlas gets $1,040,000. Atlas has a $760,000 unsecured deficiency; Precision has a $900,000 unpaid inventory deficiency (equipment claim paid).
```

Need maybe "secured or unsecured balances" with labels:
- Atlas remaining balance after applying all supplied collateral: $760,000 unsecured deficiency. (If Atlas has other collateral, not from these assets.)
- Precision remaining balance: $900,000 unpaid inventory obligation. Precision retains any in personam claim but no supplied collateral value; in this foreclosure it is a deficiency/unsecured claim.

Should we say "remaining secured" maybe Atlas's claim may remain secured by other collateral not at issue; the assignment "from the supplied collateral" maybe no other collateral. We can phrase "From the supplied collateral, both remaining balances are deficiencies; outside these assets, the parties may have other rights." Good.

Let's include a table:

| Item | Value | Priority/Allocation |
| CNC equipment | $650k | Precision $620k; Atlas $30k |
| 30 remaining units | $750k | Atlas $750k |
| Cash proceeds | $260k | Atlas $260k |
| Totals | $1.66M | Precision $620k; Atlas $1.04M |

Then table:

| Creditor | Claim | Received | Remaining |
| Atlas | $1.8M | $1.04M | $760k deficiency |
| Precision equipment | $620k | $620k | $0 |
| Precision inventory | $900k | $0 | $900k deficiency/unpaid |
| Precision total | $1.52M | $620k | $900k |

Need perhaps "Precision's equipment PMSI secures only unpaid purchase-money obligation; $200k down not protected and not relevant because value > $620k." Maybe mention.

Let's think if "equipment PMSI" also requires notice to earlier blanket lien? No, for equipment, no notice; only perfection within 20 days. It doesn't require sending notice. Good.

Potential issue: "Purchase-money priority extends only to the unpaid purchase-money obligation and identifiable proceeds to the extent applicable super-priority rule covers those proceeds." For equipment, if the CNC line sells for $650k and Precision's unpaid balance is $620k, the $30k surplus passes to Atlas. But what about Precision's inventory debt could be cross-collateralized? No; equipment PMSI secures equipment obligation. Under PMSI, non-purchase-money debt? The equipment is collateral only for purchase-money obligation; "purchase-money priority extends only to unpaid purchase-money obligation" means if the same collateral also secured other debt, PMSI wouldn't have priority for other debt. But here no cross-collateral. Good.

Potential issue: Down payment: "ForgeSpan paid $200,000 down and Precision financed $700,000" — If value at foreclosure $650k, then Precision's PMSI is undersecured by $0? Actually it is undersecured? $620k claim vs $650k value, oversecured by $30k. Since claim balance $620, not $700; the $80k difference between initial financed and unpaid is principal payments. Good.

Potential issue: Inventory unpaid obligation $900k; if 10 units sold, perhaps the $260k cash proceeds are "proceeds" of those 10 units, and the remaining 30 units are unsold. The original inventory PMSI if timely would have priority in all 40 units plus proceeds. Without, Atlas first. Good.

Let's maybe explain "filing before attachment" for Precision's inventory:
- Under rule 9, Precision's June 9 filing is effective once the interest attaches on June 10; its priority date as against Atlas is June 9, but Atlas filed Jan 3. This doesn't make Precision first.
- Because PMSI inventory notice was late, Precision cannot use rule 4 to jump ahead of Atlas.

Need maybe mention "Atlas's advance later under security agreement" attachment/perfection: It filed before attachment; Rule 9 gives it Jan 3 priority date. Good.

Let's craft final answer elegantly.

Potential final answer text:

```
Attachment/perfection:
...
```

Let's ensure no "I" maybe.

Let's revisit the date count for equipment. Maybe in final:
"Precision received possession May 2 and filed May 21. The filing is within 20 calendar days: the facts count that as the 20-day period (if one excludes May 2, it is 19 days later; if one includes it, it is day 20)."
Would this confuse? It might be beneficial because issue date can be contentious. Desired oververbosity 5, not too much. But maybe simply say "May 21 is within 20 days after May 2." Is that factually true under law? If "20 days after May 2" deadline is May 22, yes. If someone counts "May 2 to May 21" as 20 days, yes. Thus no issue. We don't need nuance. Could "no later than 20 calendar days after May 2" be May 21? In ordinary inclusive count yes. Wait "May 21 is 19 days after May 2"; "within 20 days after" includes May 21? Yes, if within 20 days includes the 19th day. So safe. "No later than 20 days after" means if deadline May 22, May21 no later. So safe.

Need maybe if there are 20 calendar days from May 2 to May 21, filing on May 21 "within" but if "no later than 20 days after" maybe May21. Good.

Let's consider possible "Precision sold ForgeSpan a CNC production line for $900,000. ForgeSpan paid $200,000 down and Precision financed $700,000 under an authenticated equipment security agreement." Did Precision hold a PMSI for the full $900,000 including down payment? A PMSI secures the purchase price; down payment paid is not secured debt. The PMSI can secure the unpaid portion. Good.

Potential issue: "Precision also sold ForgeSpan 40 robotic welding units for resale for $1,200,000, all financed under an authenticated inventory security agreement." If all financed, maybe the purchase-money obligation is $1.2M; down payment absent. At default unpaid $900k. But if 10 units sold, sales proceeds may be $260k; the debtor may have paid Precision? If it sold 10 and has $260k cash, but owes Precision $900k. The sale proceeds are identifiable but maybe if from the 10 units, the debtor's "rights" in sold units ceased; Precision has a security interest in proceeds. No issue.

Let's think about "Precision's concrete litigation position" perhaps they ask "state what Precision wins and loses" in original role. Maybe final should explicitly:
Precision wins:
- Equipment PMSI priority over Atlas for $620,000.
- The ability to use its June 11 notice for future inventory if any (not for current).
Precision loses:
- Inventory super-priority for the 40 units and their proceeds; $900,000 inventory claim is effectively unsecured/subordinate.
- It cannot force Atlas to share the $750,000 or $260,000.
Maybe say "Precision's argument that filing before receipt is enough is wrong for notice. The June 11 notice does not relate back."

Let's perhaps produce final with "litigation position" section:
"Precision should not argue that the late notice should relate back; that is contrary to rule 5. Its strongest, correct position is that Atlas does not have priority over the CNC equipment because the equipment PMSI was perfected within 20 days. It should concede/or not contest that the inventory PMSI was not perfected with notice before delivery. For future shipments, Precision should send an authenticated PMSI notice to Atlas before the next delivery (and continue to file before delivery); if it does, that notice can cover later shipments while effective."

Need maybe "the 20-day equipment period from May 2 to May 21" — "may 21 is timely, so Precision wins CNC priority despite Atlas's earlier blanket filing." Good.

Potential issue: The rule "A purchase-money security interest in equipment has priority over an earlier blanket lien if the purchase-money creditor perfects no later than 20 calendar days after the debtor receives possession of the equipment." If Precision filed May 21, but was equipment possession May 2. Did it perfect "no later than 20 calendar days" if deadline May 22; yes. If the "20-day period from May 2 to May 21" the problem might perhaps imply May 21 is exactly the 20th day. Good.

Potential issue: "No later inventory shipment occurred after Atlas received the June 11 notice." This matters because if the notice remains effective, it could cover later shipments. But none. It also means we don't allocate any later units as PMSI. Good to mention.

Potential issue: "All filings and collateral descriptions are otherwise valid. Neither creditor has another special priority, and no costs of sale are deducted in this assignment." This avoids issues with after-acquired property, notice content, and costs. Good.

Let's think if "Atlas later advanced funds under a valid security agreement" could be after Precision's PMSI? Atlas's Jan filing, if before attachment, has priority Jan 3. It is a "blanket lien" maybe "all present and future equipment, inventory, and proceeds" but if no attachment until later, the filing date establishes priority. Good.

Potential issue: If Atlas advanced funds after Precision's PMSI, could Atlas be a future advance lender and perhaps have priority only for advances made before notice? Under UCC, a first-filed blanket lien has priority for future advances even made after a later PMSI? For inventory PMSI, PMSI can beat earlier inventory lien if notice before delivery, regardless of future advances. For equipment PMSI, beats earlier blanket. No issue. Not supplied. No.

Let's maybe include "Atlas's perfected blanket lien is not 'defeats every Precision interest' — PMSI rules override first-to-file in limited cases; one applies, one doesn't." Good.

Let's decide final length. Desired oververbosity 5, so moderate. But question asks extensive analysis; maybe final around 1,000-1,500 words? Need not too long. We have enough. We can include headings and tables. Let's draft final.

But before final, let's examine possible "remaining secured or unsecured balances after allocation" more carefully.

Alternative view: Precision's inventory claim might be "secured" to the extent of the 30 remaining units at foreclosure but junior; if Atlas's claim is not satisfied, Precision's security interest in that collateral maybe still attaches to any surplus after Atlas debt? But there is no surplus. Thus no recovery. But "remaining secured balance" could be $900,000 because Precision remains secured by inventory despite being junior, if Atlas's claim is paid from other collateral? Wait if Atlas's debt is $1.8M and receives only $1.04M from all collateral, it has a $760k deficiency; but if other collateral exists (not in assignment) Atlas may be senior. Precision still has a security interest in the 30 units, but if the units are sold, the proceeds pay Atlas; no surplus. Is the $900k "unsecured" when the debtor still owes? A debt originally secured by inventory but with no remaining value because senior lien consumes all may be unsecured deficiency. Usually a "deficiency judgment" is unsecured. Therefore okay.

But "remaining secured or unsecured balances after allocation" could also mean:
- Precision's equipment claim: originally secured, receives $620k; balance $0.
- Precision's inventory claim: originally secured but junior, receives $0; balance $900,000 "secured" but subordinate? Since no PMSI super-priority, Atlas takes first; but because Atlas has an unpaid deficiency, any subsequent value from the collateral would also go to Atlas, so Precision has no effective secured recovery. But the loan is still "secured" by a lien that is junior to a $760k deficiency? Hmm if Atlas's deficiency exceeds any future collateral, no equity. We can phrase "no remaining secured value from supplied collateral; $900,000 is an unpaid deficiency (unsecured in this allocation)." That covers.

Need maybe "Atlas remaining $760,000 unsecured" if it has other collateral, not relevant. But is Atlas's claim after exhaustion of all supplied collateral a "secured claim" to other collateral not in facts? No facts no other. Phrase "in this assignment."

Let's maybe avoid "unsecured deficiency" for Precision's inventory unless necessary? The assignment specifically asks "Remaining secured or unsecured balances after allocation" so yes.

Let's include "Because both Atlas and Precision have security interests, a remaining unpaid balance after foreclosure is generally an unsecured deficiency." Good.

Potential issue: "Atlas later advanced funds under a valid security agreement. At default, ForgeSpan owes Atlas $1,800,000." If Atlas is oversecured? no. If it receives only $1.04M, remaining $760k. Good.

Potential issue: "A senior creditor receives collateral value only up to its outstanding secured debt. Any surplus passes to next-priority creditor." For CNC, surplus to Atlas but Atlas's priority in CNC is junior to Precision. Since Atlas's debt $1.8M, it gets surplus. Good. For inventory, Atlas is senior and gets all because its debt after CNC surplus $1.77M; if instead computing outstanding debt at time before inventory no need, but final same. We could compute after each step to show. Let's decide order of allocation in final.

Simpler: Allocate each item according to priority:
1. CNC: Precision gets $620,000; Atlas gets $30,000.
2. Inventory: Atlas gets $750,000 + $260,000.
Total. Then claims remaining. We don't need reduce Atlas debt after each item, but perhaps to show no surplus:
- Atlas has ample remaining debt when collecting inventory. But if we allocate CNC first, Atlas debt after $30k is $1.77M, so inventory total $1.01M less. Good.

Let's write final answer now. But let's consider if the problem wants "The 20-day equipment period from May 2 to May 21" maybe they might expect "May 2: possession; May 21: filing; May 2 through May 21 is 20 days, so file timely." Mention.

Potential issue: "Precision filed a valid equipment financing statement on May 21, 2026." Under equipment PMSI, if the purchase-money creditor "perfects no later than 20 calendar days after debtor receives possession." If possession May 2, filing May 21: There are 19 days after? However, the problem says "the 20-day equipment period from May 2 to May 21" likely their arithmetic includes both. In final, to avoid date computation, "May 21 is within/at the end of the allowed 20-day period" maybe. If a strict statutory deadline is May 22, also within. This statement is true? If deadline May 22, May21 is within. If counting inclusive day 20, "at end." Good.

Potential issue: "Precision filed against the inventory on June 9. ForgeSpan received all 40 units on June 10. Precision emailed notice to Atlas on June 11." If "email" is authenticated? It says emailed authenticated purchase-money notice, so yes. Atlas received same day. Good.

Potential issue: "A late inventory notice does not relate back for inventory already received. It may satisfy the notice condition for later shipments while the notice remains effective." So the notice was effective on June 11; if ForgeSpan received units after June 11, Precision could have PMSI priority for them. But none. Good.

Potential issue: If "Precision filed against inventory on June 9" but the filing before attachment covers future inventory; if notice late, does Precision at least have a security interest in the 30 remaining units as against debtor? Yes. Does it have priority over unsecured creditors? Yes, perfected as of June 9/June 10. But in this dispute, Atlas is prior. We should mention "perfected but junior." This matters for "wins and loses": It doesn't lose its security interest entirely, just priority to Atlas; if Atlas were paid in full from other assets, Precision might recover from inventory. But Atlas is not paid. Good.

Need perhaps maybe "Atlas's Jan 2025 blanket filing defeats every Precision interest" is false because Precision's PMSI in equipment has priority over Atlas to $620k. But Atlas could still get CNC surplus. Good.

Let's craft final:

---

**Attachment/perfection**

- Atlas: valid FS Jan 3; first to file; perfected once attachment; general first priority.
- Precision equipment: attaches by May 2 (agreement, value, rights); filing May 21; timely equipment PMSI.
- Precision inventory: the June 9 filing was before delivery and valid, so it is a perfected inventory security interest (or perfected on attachment); however PMSI super-priority requires both filing/perfection and notice before delivery.

Maybe "the June 9 filing is before delivery and satisfies perfection requirement" but if someone objects, maybe "at least it gives Precision a filing date and perfected interest; the dispositive point is notice." Good.

Need maybe "The equipment PMSI does not require notice to Atlas." Good.

---

Let's ensure table values in final. Include "Total collateral $1,660,000."

Let's maybe include final "Precision's litigation position" after table.

Potential final text:

```
Precision's concrete position:
- It should be awarded $620,000 from CNC and should not claim the inventory proceeds. Its argument that the late notice relates back should be abandoned under supplied rules.
- To protect future inventory shipments, Precision must send an authenticated PMSI notice to Atlas before ForgeSpan receives any additional inventory, in addition to filing before delivery; a notice sent/received before the first future shipment can cover subsequent shipments while effective.
```



Let's maybe include "if Atlas receives the inventory collateral, Precision's inventory debt is a deficiency, not secured by supplied collateral." Good.

Let's double-check math:
CNC value 650
Precision equipment claim 620
Surplus 30
30 units 750
Cash 260
Atlas total = 30 + 750 + 260 = 1,040
Atlas remaining = 1,800 - 1,040 = 760
Precision total = 620
Precision equipment remaining = 620 - 620 = 0
Precision inventory remaining = 900 - 0 = 900
Precision total remaining = 900
Total remaining = 1,660
Total distributed = 1,660? Actually yes claims remaining sum = 1.66; distributed=1.66; total claims=3.32. Because total distributed equals total collateral = 1.66. Good.

Let's maybe think if Atlas's "outstanding secured debt" for CNC priority when applying $650k to Atlas? Precision gets $620; but if Precision had a debt of $620 and equipment value $650, is Precision senior for entire $650? A PMSI in equipment has priority over earlier blanket only "to the extent of the purchase-money obligation"; if the collateral is sold, the PMSI is senior for the unpaid debt, not beyond. $30k surplus not subject to PMSI; Atlas's blanket gets it. Good.

Potential issue: Could Precision's unpaid equipment obligation be $620k, but the equipment was originally financed $700k. If the debtor also owes Precision $900k for inventory and Precision's security agreement may cross-collateralize both debts with both collateral groups? The facts: "Precision sold ForgeSpan a CNC... financed under an authenticated equipment security agreement"; "Precision also sold ... under an authenticated inventory security agreement." Usually no cross-collateral. The rule 6 "Purchase-money priority extends only to unpaid purchase-money obligation" means equipment PMSI won't secure inventory debt even if agreement cross-collateralizes. We can assume no. Good.

Potential issue: For inventory, the "30 remaining units produce $750,000 at foreclosure" maybe if Precision's PMSI failed, Atlas gets all 30. But what if Atlas's claim is "outstanding secured debt" and after receiving CNC and cash, it still has $1.77M or $1.54M? Let's compute if allocation order maybe simultaneous:
- If allocate inventory first: Atlas gets inventory total $1.01M. Then debt remaining $790k. Then CNC: Precision gets $620k, surplus $30k to Atlas. Atlas total $1.04M, debt remaining $760. yes.
If allocate cash after units: Atlas debt still ample. yes.

No issue.

Let's maybe state "No sale costs, so total collateral distributable is exactly $1,660,000."

Let's decide final exact wording. We can include footnotes? no.

Let's prepare final.

But perhaps there is a hidden nuanced issue: Precision's PMSI in equipment: filing on May 21 was 19 days after May 2. But "received possession on May 2" and "filed May 21" maybe if May 2 is included as day one, May 21 day twenty; yes. Good.

Potential hidden nuance: The equipment PMSI "perfects no later than 20 calendar days after debtor receives possession" but "Precision filed a valid equipment financing statement on May 21, 2026." UCC §9-324(e)(1) says "within 20 days before the debtor receives possession"?? Wait, I should verify: For equipment PMSI priority: "except as otherwise provided ... a perfected purchase-money security interest in goods other than inventory or livestock has priority over conflicting security interests if the purchase-money secured party perfects its security interest ... within 20 days after the debtor receives possession of the collateral." I think timely. Good.

Potential hidden nuance: If PMSI in equipment was filed after 20 days? no.

Potential hidden nuance: "All filings and collateral descriptions otherwise valid" means Prevision's financing statements are not designated as purchase-money? Under UCC, a PMSI need not be indicated as PMSI in financing statement for PMSI priority, generally. Good.

Potential hidden nuance: For inventory notice, the notice must be "sent to the holder of the conflicting filed inventory lien" and "before the debtor receives the inventory." It says "Precision emailed authenticated purchase-money notice to Atlas on June 11. Atlas received it that day." In Article 9, "sends" is effective when received? But condition before delivery requires received before delivery? Actually rule states "sends an authenticated notice"; not "receives" in UCC §9-324(b)(2): "the holder of a conflicting security interest in the inventory receives an authenticated notification..."? Let's recall: UCC §9-324(b)(2): "before the debtor receives possession of the inventory, the purchase-money secured party sends an authenticated notification to the holder of a conflicting security interest in the inventory..." I think "sends" maybe. The prompt says "before debtor receives, PMSI creditor both perfects and sends an authenticated notice to holder." Late one day. No matter.
 
Potential hidden nuance: "June 11 notice remains effective for later shipments while notice remains effective." In UCC, an inventory PMSI notification is effective for 5 years if it states inventory and types; maybe "while remains effective." We state no later shipments.

Potential hidden nuance: "Atlas Bank filed valid financing statement covering all present and future equipment, inventory, and proceeds" but if Atlas didn't have rights until after Precision's filing, did Atlas have priority over Precision's inventory? Atlas filed Jan 3 before Precision; first filed. No issue.

Potential hidden nuance: "Precision also sold ForgeSpan 40 robotic welding units for resale for $1,200,000, all financed ..." Did Precision have PMSI for "inventory" if goods are "robotic welding units" sold to a manufacturer for resale? Yes, if "for resale", they are inventory in debtor's hands. Good.

Potential hidden nuance: "At default, ForgeSpan owes Atlas $1,800,000." Does Atlas's debt include advances made after notice? yes. Not relevant. Could if Atlas's future advances were not "secured" because no attachment before? It says valid and owes. no.

Let's maybe maybe include "Atlas’s argument that its January filing defeats every Precision interest is rejected as to the CNC line but accepted as to the inventory." Good.

Let's now draft final answer.

Need keep answer not too long but thorough. We'll include headings.

Let's formulate elegantly:

```
The collateral totals:
- CNC $650,000
- 30 units $750,000
- cash proceeds $260,000
Total $1,660,000.
```

Then detailed.

Let's craft final response:

```
1. Attachment/perfection...
```

Need perhaps "the equipment PMSI priority is $620k not $700k" mention.

Let's maybe include "Precision’s equipment security interest attached when ForgeSpan received the CNC and the agreement was authenticated; the financing statement was filed May 21; because that is within the 20-day period, Precision's equipment PMSI is senior to Atlas."

Maybe "Atlas's priority date Jan 3; Precision's equipment PMSI overrides only because rule 3."

Let's finalize.

Potential final phrase:
"Precision cannot make the June 11 notice relate back. The statute's before-delivery condition is enforced separately for each shipment; all 40 units were already received before the notice, so the late notice did nothing for them." Good.

Let's final now.