# Aligned Shelf Packing Capacity – Local Finite-Change Elasticity

> Aligned Shelf Packing Capacity – 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 2026-10-14).

Computes how retail shelf packing capacity changes as a single shelf or item dimension is varied by small incremental steps from a baseline configuration.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-ar-retail-shelf-capacity-elasticity?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-14
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/aligned-shelf-packing-capacity-local-finite-change-elasticity-481004f0
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_zTbtB8CoGS_WDCImrU05S

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 aligned-shelf-packing-capacity-local-finite-change-elasticity-481004f0 -d '<json body>'
```

Example prompt: Can you run a local finite-change elasticity analysis on shelf packing capacity, varying shelf_width in 1% steps from a baseline shelf of 100×60×40 cm holding items that are 20×15×10 cm?

## When to prefer this

Choose this endpoint when you need a mathematically precise, bounded sensitivity analysis of how shelf packing capacity responds to incremental changes in a single shelf or item dimension near a known baseline. Prefer it over general optimization tools when you want elasticity coefficients (not just capacity counts) and when your use case is retail shelf planning with fixed dimension inputs rather than real-time inventory or order execution.

## Known failure modes

- Missing or zero-value baseline dimensions returns validation error
- step_percent outside 0.01–10 range is rejected
- Non-positive dimension values rejected due to exclusiveMinimum constraint
- Unrecognized field enum value returns error
- No live inventory or pricing data available — only supplied retail figures

## How this service works

Aligned shelf packing capacity - Local finite-change elasticity: Local finite-change elasticity for Aligned shelf packing capacity. Supplied retail figures only, up to 200 records. No platform access, live rates or order execution. One of 25 new profiles across 20 shared operations in this industry. 0.01 USDC includes one bounded local finite-change elasticity report.

## Output

Returns up to 200 records showing how the computed shelf packing capacity changes at each incremental step (up to 10% total deviation from baseline) for the chosen dimension, along with the elasticity coefficients describing the local sensitivity of capacity to that dimension change.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "field": {
   "enum": [
    "shelf_width",
    "shelf_height",
    "shelf_depth",
    "item_width",
    "item_height",
    "item_depth"
   ],
   "type": "string",
   "default": "shelf_width"
  },
  "baseline": {
   "type": "object",
   "default": {
    "item_depth": 10,
    "item_width": 20,
    "item_height": 15,
    "shelf_depth": 40,
    "shelf_width": 100,
    "shelf_height": 60
   },
   "required": [
    "shelf_width",
    "shelf_height",
    "shelf_depth",
    "item_width",
    "item_height",
    "item_depth"
   ],
   "properties": {
    "item_depth": {
     "type": "number",
     "default": 10,
     "maximum": 1000000000000,
     "minimum": 0,
     "exclusiveMinimum": 0
    },
    "item_width": {
     "type": "number",
     "default": 20,
     "maximum": 1000000000000,
     "minimum": 0,
     "exclusiveMinimum": 0
    },
    "item_height": {
     "type": "number",
     "default": 15,
     "maximum": 1000000000000,
     "minimum": 0,
     "exclusiveMinimum": 0
    },
    "shelf_depth": {
     "type": "number",
     "default": 40,
     "maximum": 1000000000000,
     "minimum": 0,
     "exclusiveMinimum": 0
    },
    "shelf_width": {
     "type": "number",
     "default": 100,
     "maximum": 1000000000000,
     "minimum": 0,
     "exclusiveMinimum": 0
    },
    "shelf_height": {
     "type": "number",
     "default": 60,
     "maximum": 1000000000000,
     "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/aligned-shelf-packing-capacity-local-finite-change-elasticity-481004f0/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)