# Numora Break-Even Computation API

> Numora Break-Even Computation API is a paid API for AI agents from numomo.vercel.app, paid per call via x402, $0.1/call, status unknown (last checked 2026-09-15).

Calculates the break-even point (units and revenue) given fixed costs, price per unit, and variable cost per unit

## Facts

- Endpoint: POST https://numomo.vercel.app/api/financial/break-even
- Price: $0.1/call
- Payment: x402
- Status: unknown
- Last checked: 2026-09-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/numora-break-even-computation-api-0d105cdf
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Ivnq7vZLyoeeRVJW89XVs

Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently.

## How to call it through Zero

Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`):

```sh
zero fetch --capability numora-break-even-computation-api-0d105cdf -d '<json body>'
```

Example prompt: 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.

## When to prefer this

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.

## Known failure modes

- 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

## How this service works

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.

## Output

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.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "required": [
  "fixedCosts",
  "pricePerUnit",
  "variableCost"
 ],
 "properties": {
  "fixedCosts": {
   "type": "number"
  },
  "pricePerUnit": {
   "type": "number"
  },
  "variableCost": {
   "type": "number"
  }
 }
}
```

## Response schema (JSON Schema)

```json
{
 "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"
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/numora-break-even-computation-api-0d105cdf/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from numomo.vercel.app](https://www.zero.xyz/host/numomo.vercel.app/llms.txt)