{"uid":"cap_TuBnZ61d7mlsXL_roMPpp","slug":"unit-return-rate-local-finite-change-elasticity-calculator-05fd6ee6","name":"Unit Return Rate – Local Finite-Change Elasticity Calculator","description":"Unit return rate - Local finite-change elasticity: Local finite-change elasticity for Unit return rate. Supplied retail figures only. Local calculation and scenario analysis; no live inventory, account access, platform fee lookup or order execution. One of 25 profiles or calculations across 20 shared operations in this sector. 0.01 USDC includes one bounded local finite-change elasticity deliverable.","url":"https://market.datapackvibe.com/x402/assistant-sector-retail-unit-return-elasticity?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"field":{"enum":["returned_units","sold_units"],"type":"string","default":"returned_units"},"baseline":{"type":"object","default":{"sold_units":100,"returned_units":5},"required":["returned_units","sold_units"],"properties":{"sold_units":{"type":"number","default":100,"maximum":1000000000000,"minimum":0,"exclusiveMinimum":0},"returned_units":{"type":"number","default":5,"maximum":1000000000000,"minimum":0}},"additionalProperties":false},"step_percent":{"type":"number","default":1,"maximum":10,"minimum":0.01}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.01","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.01/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.01","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_qNyOYzGGt9CYBsjM2piT7","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.01","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Computes the local finite-change elasticity of the unit return rate with respect to a small percentage change in either returned_units or sold_units, using supplied retail figures.","exampleAgentPrompt":"Calculate the local finite-change elasticity of the unit return rate for my retail store — baseline is 100 sold units and 5 returned units, and I want to see the elasticity with a 1% step change in returned_units.","exampleUseCases":[{"title":"Retail return sensitivity scenario analysis","prompt":"I have 500 sold units and 40 returns this month. Can you compute the local finite-change elasticity of my return rate if returned units shift by a 2% step?"},{"title":"Benchmarking return rate elasticity by input","prompt":"For a baseline of 1000 sold units and 80 returned units, what's the elasticity of the return rate with respect to sold_units at a 0.5% step change?"},{"title":"E-commerce return rate stress test","prompt":"My shop sold 250 units last week with 15 returns. Run a local elasticity calculation on the return rate using a 1% step on returned units so I can understand how sensitive the rate is."}],"resultDescription":"Returns a local finite-change elasticity value representing how the unit return rate (returned_units / sold_units) responds to a small percentage perturbation in the selected field (returned_units or sold_units). The result quantifies the sensitivity of the return rate to marginal changes at the specified baseline, enabling scenario analysis without live inventory or order data.","failureModes":["sold_units of zero or below minimum causes validation error since it is in the denominator","step_percent outside the 0.01–10 range returns a validation/schema error","Missing required baseline fields (returned_units or sold_units) causes a 400-level error","Invalid field enum value (not 'returned_units' or 'sold_units') returns a schema validation error","returned_units exceeding 1,000,000,000,000 or negative values fail schema validation"],"whenToPreferThis":"Choose this endpoint when you need a lightweight, local elasticity computation on unit return rate using only supplied retail figures — no live platform integration or account access needed. It is ideal for scenario analysis, sensitivity checks, and quick quantitative assessments of how return rates respond to marginal changes in returns or sales volume, at extremely low cost ($0.01 USDC per call).","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-27T13:07:10.276Z","isFirstParty":false,"canonicalSlug":"unit-return-rate-local-finite-change-elasticity-calculator-05fd6ee6"}