{"uid":"cap_Mfm5KmVew8lO56LjPK8LB","slug":"customer-acquisition-cost-local-finite-change-elasticity-calculator-12f0b2d0","name":"Customer Acquisition Cost – Local Finite-Change Elasticity Calculator","description":"Customer acquisition cost - Local finite-change elasticity: Measure output response to a supplied small percentage change in one nonzero input; local approximation. Metric: Customer acquisition cost. Supplied figures only; returns JSON with formula, units and limitations. One of 50 calculators with 20 analysis modes. No live feed, financial advice or trade execution. 0.01 USDC includes one bounded local finite-change elasticity report.","url":"https://market.datapackvibe.com/x402/assistant-finance-customer-acquisition-elasticity?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"field":{"enum":["acquisition_spend","new_customers"],"type":"string","default":"acquisition_spend"},"baseline":{"type":"object","default":{"new_customers":100,"acquisition_spend":5000},"required":["acquisition_spend","new_customers"],"properties":{"new_customers":{"type":"number","default":100,"maximum":1000000000000,"minimum":0,"description":"Amount in a consistent supplied currency and reporting period","exclusiveMinimum":0},"acquisition_spend":{"type":"number","default":5000,"maximum":1000000000000,"minimum":0,"description":"Amount in a consistent supplied currency and reporting period"}},"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_Lk1ucBU5PTOxGWyX4KX38","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":"Calculates the local finite-change elasticity of customer acquisition cost (CAC) with respect to a specified input, measuring how a small percentage change in one input affects the output.","exampleAgentPrompt":"What's the local finite-change elasticity of customer acquisition cost when acquisition_spend is $5000 and new_customers is 100 — perturb acquisition_spend by 1%?","exampleUseCases":[{"title":"Marketing budget sensitivity check","prompt":"I have an acquisition spend of $8000 and we're bringing in 200 new customers. Can you calculate the local elasticity of CAC with respect to acquisition_spend using a 1% step change? I want to understand how sensitive our cost per customer is to spend increases."},{"title":"Customer volume impact on CAC","prompt":"We currently spend $12000 on acquisition and get 300 new customers. What's the finite-change elasticity of customer acquisition cost when I perturb new_customers by 2%? I need to know how much CAC shifts if we get slightly more or fewer customers."},{"title":"Elasticity report for CFO presentation","prompt":"For our baseline of $5000 acquisition spend and 100 new customers, run a local finite-change elasticity analysis on acquisition_spend with a 0.5% step size and give me the formula, units, and any limitations I should mention to our CFO."}],"resultDescription":"A JSON object containing the computed local finite-change elasticity value for customer acquisition cost (CAC = acquisition_spend / new_customers), the mathematical formula used, units of measurement, and a description of limitations (e.g. that this is a local linear approximation valid only near the supplied baseline, not a global or predictive measure).","failureModes":["Missing or zero baseline values (new_customers or acquisition_spend must be nonzero positive numbers)","step_percent out of range (must be between 0.01 and 10)","Invalid field enum value (must be 'acquisition_spend' or 'new_customers')","Malformed request body returns validation error","Payment failure or insufficient USDC balance blocks the request"],"whenToPreferThis":"Use this endpoint when you need a quick, formula-backed local sensitivity measure for CAC around a specific operating point — ideal for finance or marketing teams doing lightweight what-if analysis on a single input without requiring a full simulation or historical dataset. Prefer this over regression-based sensitivity tools when you have only a single baseline observation and want a mathematically grounded elasticity approximation with explicit formula and units.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-18T19:03:21.095Z","isFirstParty":false,"canonicalSlug":"customer-acquisition-cost-local-finite-change-elasticity-calculator-12f0b2d0"}