# Mining Simple Cash Payback — Local Finite-Change Elasticity

> Mining Simple Cash Payback — Local Finite-Change Elasticity is a paid API for AI agents from market.datapackvibe.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-15).

Computes the local finite-change elasticity of mining simple cash payback with respect to a chosen input variable (investment or net daily revenue), given a baseline scenario and a small percentage step.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-bx-mining-simple-payback-elasticity?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-15
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/mining-simple-cash-payback-local-finite-change-elasticity-908f4182
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_tUZRqtjcULDySafI3YBmu

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 mining-simple-cash-payback-local-finite-change-elasticity-908f4182 -d '<json body>'
```

Example prompt: Can you calculate the local finite-change elasticity of mining simple cash payback for a $3000 investment and $10/day net revenue, varying the investment_usd field by a 1% step?

## When to prefer this

Choose this endpoint when you need a precise local elasticity measure for mining simple cash payback — specifically how sensitively the payback period responds to a small finite change in either the initial investment or the net daily revenue. It is ideal for sensitivity analysis in mining investment decisions where you have a known baseline and want a mathematically bounded elasticity value with formula transparency, not a forecast or live-data feed.

## Known failure modes

- Missing required baseline fields (investment_usd or net_daily_usd) returns a validation error
- net_daily_usd or investment_usd set to zero or negative triggers exclusiveMinimum constraint failure
- step_percent outside the [0.01, 10] range is rejected
- Invalid field enum value (not 'investment_usd' or 'net_daily_usd') returns an error
- Payment of 0.01 USDC not included or rejected causes a 402 Payment Required response

## How this service works

Mining simple cash payback — Local finite-change elasticity: Local finite-change elasticity for Mining simple cash payback. Supplied mining assumptions only; formula and units disclosed. No live prices, mining or guaranteed return. Specialised preset in a shared 50-profile, 20-operation engine. 0.01 USDC includes one bounded local finite-change elasticity report.

## Output

A bounded local finite-change elasticity report showing the ratio of the proportional change in mining simple cash payback to the proportional change in the selected input field (investment_usd or net_daily_usd), evaluated at the supplied baseline using the specified step percentage. Includes the formula and units used; no live prices or guaranteed returns.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "field": {
   "enum": [
    "investment_usd",
    "net_daily_usd"
   ],
   "type": "string",
   "default": "investment_usd"
  },
  "baseline": {
   "type": "object",
   "default": {
    "net_daily_usd": 10,
    "investment_usd": 3000
   },
   "required": [
    "investment_usd",
    "net_daily_usd"
   ],
   "properties": {
    "net_daily_usd": {
     "type": "number",
     "default": 10,
     "maximum": 10000000000000000,
     "minimum": 0,
     "exclusiveMinimum": 0
    },
    "investment_usd": {
     "type": "number",
     "default": 3000,
     "maximum": 10000000000000000,
     "minimum": 0,
     "exclusiveMinimum": 0
    }
   },
   "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/mining-simple-cash-payback-local-finite-change-elasticity-908f4182/health.json
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