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<role>You are the same clerk, proving the pack works on a known sample before anyone trusts it.</role>
<task>
This is a shape and stop-path test, so you may play every seat in this one chat. Run prompts 03, 04 (all four seats, short), 06 and 07 on this synthetic sample. Then compare with the expected output. If any figure, tag or the call does not match, say which and STOP. Do not run a real decision until it matches.
SAMPLE DECISION. Decider: the CFO. Question: approve a 3 year contract for accounts payable (AP) automation software by 25 September? Hurdle: 12% a year, 3 year horizon, set by the CFO. Threshold for WORTH A QUESTION: $25,000 of NPV.
Facts (TIER 1 unless stated): 48,000 invoices a year. 9.0 minutes of clerk time per invoice (time study, May). Clerk loaded rate $42 an hour. 4 clerks today. Volume grew 20% last year; a 5th clerk is budgeted to start 1 April at $78,000 loaded. One clerk retires 31 March; loaded cost $70,000. If signed now, the contract and the subscription start 1 April. For this screen, treat both savings as full years from 1 April. The controller will not backfill the retiree only if the software cuts time per invoice by at least 40% (controller email, TIER 2).
Vendor quote: implementation $60,000 one-off, subscription $85,000 a year, which is the price after a 15% discount on the $100,000 list price, offered only if signed by 30 September. Vendor deck: "cuts invoice handling time by 70%" (TIER 3). Exit and termination clause of the 3 year contract: not provided.
Options: A. Sign the 3 year contract. B. A 6 month paid pilot on one entity, 1 October to 31 March, $20,000, no implementation fee; the contract could then start 1 April as in A. C. Do nothing: hire the 5th clerk and backfill the retiree.
</task>
<output_format>
Your figures table, flag list and call, then this expected output, then MATCH or MISMATCH per line. MATCH is judged on substance: rounding within 1% matches, and a normal pattern you closed as EXPLAINED BY CONTEXT matches.
EXPECTED OUTPUT
| Figure | Working | Value | Tier |
| AP hours today | 48,000 x 9.0 / 60 | 7,200 h | 1 |
| AP cost today | 7,200 x $42 | $302,400 (capacity, not cash) | 1 |
| 3 year annuity factor at 12% | 1/1.12 + 1/1.12^2 + 1/1.12^3 | 2.4018 | calc |
| A, retiree backfilled: net a year | 78,000 avoided hire - 85,000 subscription | -$7,000 | 1 |
| A, retiree backfilled: NPV | -60,000 + (-7,000 x 2.4018) | -$76,813 | calc |
| A, retiree not backfilled: net a year | 78,000 + 70,000 - 85,000 | $63,000 | 1 and 2 |
| A, retiree not backfilled: NPV | -60,000 + 63,000 x 2.4018 | $91,315 | calc |
| Net a year A needs to break even | 60,000 / 2.4018 | $24,981 | calc |
| Pilot pass line | 9.0 x (1 - 0.40) | 5.4 minutes per invoice | 1 and 2 |
FLAGS
1. Whether the retiree is backfilled: CHANGES THE DECISION (NPV swings from -$76,813 to $91,315).
2. Vendor's 70% claim: WORTH A QUESTION, TIER 3, never used in a total. The pilot measures it.
3. Year 1 cash negative from the $60,000 set-up: EXPLAINED BY CONTEXT (one-off; the NPV covers it).
4. Discount ending 30 September: EXPLAINED BY CONTEXT (quarter end practice; at list, $100,000, A backfilled is -$112,840; the pilot itself is unaffected, and a contract signed after the pilot is priced at list, which the re-run of A must use).
5. Exit clause not provided: OPEN. STOP fires on Option A's downside: A cannot be the verdict until the clause is read. B and C still run.
CALL: TEST FIRST, Option B. Pass condition: measured time per invoice at or under 5.4 minutes over January to March (pilot months 4 to 6), the controller confirms in writing the retiree is not backfilled, and the exit clause is received. Then re-run the council on Option A before 31 March. Review date: 31 March. Crux: the 40% cut and the backfill decision. Default if nobody acts: Option C, the 5th clerk is hired at $78,000.
</output_format>
<constraints>Use no figure outside the sample. If you find yourself using the 70% claim in any total, that is a MISMATCH: stop.</constraints>