{"uid":"cap_EKGXYZm-fOYs5Nf4x0IQx","slug":"numora-break-even-analysis-d710041e","name":"Numora Break-Even Analysis","description":"100 pure math computation endpoints for AI agents. Statistics, financial math, linear algebra, equation solving, calculus, number theory, sequence generation, and unit conversions. Zero external dependencies. x402 micropayments on Base.","url":"https://numormo.vercel.app/api/financial/break-even","method":"POST","headers":{},"bodySchema":{"type":"object","required":["fixedCosts","pricePerUnit","variableCost"],"properties":{"fixedCosts":{"type":"number"},"pricePerUnit":{"type":"number"},"variableCost":{"type":"number"}}},"responseSchema":{"type":"object","required":["success","result","computation"],"properties":{"result":{"type":"object","description":"Computation result varies by endpoint"},"success":{"type":"boolean","description":"Always true on success"},"computation":{"type":"string","description":"Human-readable description of what was computed"}}},"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.1","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"registry","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":"$0.1/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.1","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_iRTtU-0F25Z-Fn0wVn14n","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.1","costPer":"request","priority":0,"asset":null,"unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Calculates the break-even point in units and revenue given fixed costs, variable cost per unit, and price per unit","exampleAgentPrompt":"Can you calculate the break-even point for my product? My fixed costs are $50,000, each unit sells for $120, and my variable cost per unit is $75.","exampleUseCases":[{"title":"Product launch viability check","prompt":"I'm launching a new gadget. My fixed costs including manufacturing setup are $80,000, I'll sell each unit for $200, and variable cost per unit is $110. What's my break-even quantity?"},{"title":"Restaurant menu pricing analysis","prompt":"Help me figure out break-even for a new menu item — my fixed kitchen costs are $5,000 per month, I'm pricing the dish at $18, and the ingredient cost per plate is $6. How many plates do I need to sell?"},{"title":"Startup unit economics modeling","prompt":"Our SaaS startup has $120,000 in monthly fixed overhead. We charge $300 per subscription and variable costs per customer are $40. Calculate the break-even number of subscribers we need."}],"resultDescription":"Returns a JSON object with a `result` field containing break-even units (the minimum quantity to sell to cover all costs), break-even revenue, and contribution margin per unit. Also includes a `computation` string with a human-readable explanation of the calculation, and `success: true`.","failureModes":["Missing required fields (fixedCosts, pricePerUnit, variableCost) returns an error","Price per unit equal to or less than variable cost (zero or negative contribution margin) causes division by zero or invalid result","Non-numeric input values return a validation error","Negative fixed costs or prices may produce nonsensical results without explicit validation","Service unavailability on Vercel hosting returns a 5xx error"],"whenToPreferThis":"Choose this endpoint when you need a pure, dependency-free mathematical break-even computation without any external data lookups or market data. Ideal for AI agents performing financial modeling, business plan analysis, or pricing decisions where the three core inputs (fixed costs, variable cost, price) are already known. Prefer this over spreadsheet tools or finance APIs when you want a lightweight, programmatic result with no side effects and instant response.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T19:01:40.874Z","isFirstParty":false}