# Break-Even Sales Units Benchmark Correlation Calculator

> Break-Even Sales Units Benchmark Correlation Calculator is a paid API for AI agents from market.datapackvibe.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-18).

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.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-finance-break-even-units-correlation?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-18
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/break-even-sales-units-benchmark-correlation-calculator-1e7b3e9b
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap__iMSZuRbwtqyFYFZi5cdj

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 break-even-sales-units-benchmark-correlation-calculator-1e7b3e9b -d '<json body>'
```

Example prompt: 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.

## When to prefer this

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.

## Known failure modes

- 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

## How this service works

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.

## Output

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).

## Request schema (JSON Schema)

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

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/break-even-sales-units-benchmark-correlation-calculator-1e7b3e9b/health.json
- [Zero catalog index](https://www.zero.xyz/llms.txt)
- [Other services from market.datapackvibe.com](https://www.zero.xyz/host/market.datapackvibe.com/llms.txt)