The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-economic-order-quantity-state-a-a8d1

stable pending witness
2026-05-29 04:24:27 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the economic order quantity. State any key formula.
77 chars

Generation

Economic Order Quantity (EOQ) is an inventory management formula that determines the optimal order quantity a company should purchase to minimize total inventory costs, including ordering costs and holding costs. The model assumes constant demand, fixed ordering costs, and consistent holding costs per unit over time. **Key Formula:** EOQ = √(2DS/H) Where D = annual demand, S = ordering cost per order, and H = annual holding cost per unit. This formula balances the trade-off between ordering frequently in small quantities versus ordering infrequently in large quantities.
26 tokens in · 121 tokens out · 5718 ms · $0.0019

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
5725.7 ms
Base LLM
5718.3 ms
Verifiers
0.2 ms
Gates
0.1 ms
Cost
$0.0019

Trail

04:24:27 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
04:24:27 red_gate decision=pass reason=no disqualifying input patterns detected
04:24:33 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=121 latency_ms=5718.3 cost_usd=0.0019
04:24:33 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:24:33 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:24:33 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:24:33 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:24:33 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:24:33 signed hash_algo=sha256 hash=sha256:29cc839aa63fdf898a3544138155e7f8603f24f092f523600178745bbfd2769f

Content hash

sha256:29cc839aa63fdf898a3544138155e7f8603f24f092f523600178745bbfd2769f

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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