{"uid":"cap__iMSZuRbwtqyFYFZi5cdj","slug":"break-even-sales-units-benchmark-correlation-calculator-1e7b3e9b","name":"Break-Even Sales Units Benchmark Correlation Calculator","description":"Break-even sales units - Benchmark correlation: Calculate Pearson correlation against aligned supplied benchmarks; no causal or predictive claim. Metric: Break-even sales units. 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 benchmark correlation report.","url":"https://market.datapackvibe.com/x402/assistant-finance-break-even-units-correlation?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"rows":{"type":"array","items":{"type":"object","required":["fixed_costs","unit_price","variable_cost_per_unit"],"properties":{"unit_price":{"type":"number","default":20,"maximum":1000000000000,"minimum":0,"description":"Amount in a consistent supplied currency and reporting period","exclusiveMinimum":0},"fixed_costs":{"type":"number","default":5000,"maximum":1000000000000,"minimum":0,"description":"Amount in a consistent supplied currency and reporting period"},"variable_cost_per_unit":{"type":"number","default":12,"maximum":1000000000000,"minimum":0,"description":"Amount in a consistent supplied currency and reporting period"}},"additionalProperties":false},"default":[{"unit_price":20,"fixed_costs":5000,"variable_cost_per_unit":12},{"unit_price":22,"fixed_costs":5500,"variable_cost_per_unit":13.200000000000001},{"unit_price":20,"fixed_costs":5000,"variable_cost_per_unit":12},{"unit_price":22,"fixed_costs":5500,"variable_cost_per_unit":13.200000000000001}],"maxItems":200,"minItems":2},"benchmarks":{"type":"array","items":{"type":"number","default":1,"maximum":1000000000000000000,"minimum":-1000000000000000000},"default":[10,20,30,40],"maxItems":200,"minItems":2}}},"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_gBb_JhV5a9zaRJ5cgwUxo","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 Pearson correlation between computed break-even sales unit figures and user-supplied benchmark values, returning a JSON report with formula, units, and limitations.","exampleAgentPrompt":"Calculate the Pearson correlation between break-even sales units and these benchmarks [10, 20, 30, 40] using my cost data: fixed costs of $5,000, unit price of $20, and variable cost per unit of $12 — give me a report with the formula and any limitations.","exampleUseCases":[{"title":"Retail pricing benchmark correlation","prompt":"I have two pricing scenarios — one with fixed costs $8,000, unit price $25, variable cost $15, and another with fixed costs $10,000, unit price $30, variable cost $18 — can you calculate the Pearson correlation between the break-even units for these and my benchmark targets of 400 and 500?"},{"title":"Multi-period cost structure alignment","prompt":"We have four quarters of data: Q1 fixed $5000/price $20/variable $12, Q2 fixed $5500/price $22/variable $13.20, Q3 fixed $6000/price $24/variable $14, Q4 fixed $6500/price $26/variable $15 — correlate the resulting break-even units against our benchmark series of 600, 620, 640, 660 and show me the formula used."},{"title":"Product line break-even vs industry benchmarks","prompt":"I want to see how correlated our break-even sales units are with industry reference figures of 200, 250, 300 across three product lines: fixed $3000/price $15/variable $9, fixed $4000/price $18/variable $11, and fixed $5000/price $21/variable $13 — include any limitations in the output."}],"resultDescription":"A JSON object containing the Pearson correlation coefficient between the computed break-even sales unit values and the supplied benchmark series, along with the mathematical formula used, units of measurement, and explicit limitations of the analysis (no causal or predictive claims).","failureModes":["Fewer than 2 rows or benchmarks provided — minimum length validation error","Mismatched array lengths between rows and benchmarks may cause correlation failure","Unit price of zero triggers exclusiveMinimum validation error","Values exceeding 1e12 trigger maximum constraint errors","Zero contribution margin (unit price equals variable cost) causes division by zero in break-even formula"],"whenToPreferThis":"Use this endpoint when you need a statistical Pearson correlation between computed break-even sales unit figures and a pre-supplied benchmark series, and you want a structured JSON report with formula documentation and explicit limitations. Prefer this over generic statistics APIs when your use case is specifically break-even analysis with cost accounting inputs (fixed costs, unit price, variable cost per unit). Not suitable when you need live market data, causal inference, predictive modelling, or financial advice.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-10-18T00:58:42.632Z","isFirstParty":false,"canonicalSlug":"break-even-sales-units-benchmark-correlation-calculator-1e7b3e9b"}