{"uid":"cap_Ivnq7vZLyoeeRVJW89XVs","slug":"numora-break-even-computation-api-0d105cdf","name":"Numora Break-Even Computation API","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://numomo.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_AlYS841DSLtqWvYF0UlrB","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 (units and revenue) given fixed costs, price per unit, and variable cost per unit","exampleAgentPrompt":"Calculate the break-even point for a product with $50,000 in fixed costs, a selling price of $25 per unit, and a variable cost of $10 per unit.","exampleUseCases":[{"title":"Startup product viability check","prompt":"I'm launching a SaaS tool with $20,000 in monthly fixed costs, charging $49 per subscription, and my variable cost per customer is $12. How many subscribers do I need to break even each month?"},{"title":"Manufacturing cost analysis","prompt":"Our factory has $150,000 in fixed costs. Each widget sells for $80 and costs $35 to produce. Can you calculate how many widgets we need to sell to break even?"},{"title":"Event planning cost recovery","prompt":"I'm organizing an event with $8,000 in fixed expenses. Tickets are $75 each and variable costs per attendee are $20. Tell me the break-even number of tickets I need to sell."}],"resultDescription":"Returns a result object containing the break-even quantity in units, break-even revenue in dollars, and contribution margin per unit, along with a human-readable computation description and a success boolean.","failureModes":["Missing required fields (fixedCosts, pricePerUnit, variableCost) returns validation error","pricePerUnit equal to or less than variableCost causes division by zero or negative contribution margin — may return error or undefined result","Non-numeric inputs return schema validation failure","Negative fixed costs or costs may produce mathematically valid but economically nonsensical results"],"whenToPreferThis":"Choose this endpoint when you need a fast, dependency-free, server-side break-even calculation without building custom arithmetic logic. It is ideal for AI agents doing on-the-fly financial feasibility analysis, business planning prompts, or educational finance explanations. Prefer this over general-purpose code execution or spreadsheet tools when you want a clean, structured JSON result for a single break-even scenario with minimal latency and no external API dependencies.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-15T18:46:39.789Z","isFirstParty":false}