# Customer Acquisition Cost – Local Finite-Change Elasticity Calculator

> Customer Acquisition Cost – Local Finite-Change Elasticity 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 local finite-change elasticity of customer acquisition cost (CAC) with respect to a specified input, measuring how a small percentage change in one input affects the output.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-finance-customer-acquisition-elasticity?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/customer-acquisition-cost-local-finite-change-elasticity-calculator-12f0b2d0
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_Mfm5KmVew8lO56LjPK8LB

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 customer-acquisition-cost-local-finite-change-elasticity-calculator-12f0b2d0 -d '<json body>'
```

Example prompt: What's the local finite-change elasticity of customer acquisition cost when acquisition_spend is $5000 and new_customers is 100 — perturb acquisition_spend by 1%?

## When to prefer this

Use this endpoint when you need a quick, formula-backed local sensitivity measure for CAC around a specific operating point — ideal for finance or marketing teams doing lightweight what-if analysis on a single input without requiring a full simulation or historical dataset. Prefer this over regression-based sensitivity tools when you have only a single baseline observation and want a mathematically grounded elasticity approximation with explicit formula and units.

## Known failure modes

- Missing or zero baseline values (new_customers or acquisition_spend must be nonzero positive numbers)
- step_percent out of range (must be between 0.01 and 10)
- Invalid field enum value (must be 'acquisition_spend' or 'new_customers')
- Malformed request body returns validation error
- Payment failure or insufficient USDC balance blocks the request

## How this service works

Customer acquisition cost - Local finite-change elasticity: Measure output response to a supplied small percentage change in one nonzero input; local approximation. Metric: Customer acquisition cost. 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 local finite-change elasticity report.

## Output

A JSON object containing the computed local finite-change elasticity value for customer acquisition cost (CAC = acquisition_spend / new_customers), the mathematical formula used, units of measurement, and a description of limitations (e.g. that this is a local linear approximation valid only near the supplied baseline, not a global or predictive measure).

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "field": {
   "enum": [
    "acquisition_spend",
    "new_customers"
   ],
   "type": "string",
   "default": "acquisition_spend"
  },
  "baseline": {
   "type": "object",
   "default": {
    "new_customers": 100,
    "acquisition_spend": 5000
   },
   "required": [
    "acquisition_spend",
    "new_customers"
   ],
   "properties": {
    "new_customers": {
     "type": "number",
     "default": 100,
     "maximum": 1000000000000,
     "minimum": 0,
     "description": "Amount in a consistent supplied currency and reporting period",
     "exclusiveMinimum": 0
    },
    "acquisition_spend": {
     "type": "number",
     "default": 5000,
     "maximum": 1000000000000,
     "minimum": 0,
     "description": "Amount in a consistent supplied currency and reporting period"
    }
   },
   "additionalProperties": false
  },
  "step_percent": {
   "type": "number",
   "default": 1,
   "maximum": 10,
   "minimum": 0.01
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/customer-acquisition-cost-local-finite-change-elasticity-calculator-12f0b2d0/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)