# Return Processing Cost Per Case – Distribution Summary

> Return Processing Cost Per Case – Distribution Summary is a paid API for AI agents from market.datapackvibe.com, paid per call via x402, $0.01/call, status unknown (last checked 2026-10-16).

Computes a distribution summary (min, max, mean, median, percentiles, etc.) for the return processing cost per case metric across up to 200 supplied retail records.

## Facts

- Endpoint: POST https://market.datapackvibe.com/x402/assistant-ar-retail-return-processing-cost-summary?utm_source=zero.xyz
- Price: $0.01/call
- Payment: x402
- Status: unknown
- Last checked: 2026-10-16
- Activations on Zero: 0
- Tags: x402
- Canonical page: https://www.zero.xyz/c/return-processing-cost-per-case-distribution-summary-362a0b54
- Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_xJBucPhkwgWUwbVMTDWXP

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 return-processing-cost-per-case-distribution-summary-362a0b54 -d '<json body>'
```

Example prompt: Give me a distribution summary for return processing cost per case using these 4 records: labour costs of 100, 110, 95, 120; postage costs of 50, 55, 48, 60; other costs of 20, 22, 18, 25; and processed returns of 10, 11, 9, 12.

## When to prefer this

Choose this endpoint when you need a statistical distribution summary (min, max, mean, median, percentiles) specifically for the return processing cost per case KPI in a retail context, and you already have the raw cost components (labour, postage, other) and processed return counts as structured records. It is ideal for batch analysis of up to 200 periods or locations without requiring platform access or live rate feeds.

## Known failure modes

- Fewer than 2 rows supplied — minimum 2 records required
- processed_returns value of 0 causes division-by-zero for cost-per-case calculation (field has exclusiveMinimum:0)
- Rows exceeding 200 items will be rejected
- Non-numeric or missing required fields (labour_cost, postage_cost, other_cost, processed_returns) cause validation errors
- Extremely large cost values near the 1 trillion maximum may cause precision issues

## How this service works

Return processing cost per case - Distribution summary: Distribution summary for Return processing cost per case. 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 distribution summary report.

## Output

A bounded distribution summary report for the computed return processing cost per case metric, including statistics such as minimum, maximum, mean, median, and percentile breakpoints derived from the supplied rows of labour cost, postage cost, other cost, and processed returns count data.

## Request schema (JSON Schema)

```json
{
 "type": "object",
 "properties": {
  "rows": {
   "type": "array",
   "items": {
    "type": "object",
    "required": [
     "labour_cost",
     "postage_cost",
     "other_cost",
     "processed_returns"
    ],
    "properties": {
     "other_cost": {
      "type": "number",
      "default": 20,
      "maximum": 1000000000000,
      "minimum": 0
     },
     "labour_cost": {
      "type": "number",
      "default": 100,
      "maximum": 1000000000000,
      "minimum": 0
     },
     "postage_cost": {
      "type": "number",
      "default": 50,
      "maximum": 1000000000000,
      "minimum": 0
     },
     "processed_returns": {
      "type": "number",
      "default": 10,
      "maximum": 1000000000000,
      "minimum": 0,
      "exclusiveMinimum": 0
     }
    },
    "additionalProperties": false
   },
   "default": [
    {
     "other_cost": 20,
     "labour_cost": 100,
     "postage_cost": 50,
     "processed_returns": 10
    },
    {
     "other_cost": 22,
     "labour_cost": 110.00000000000001,
     "postage_cost": 55.00000000000001,
     "processed_returns": 11
    },
    {
     "other_cost": 20,
     "labour_cost": 100,
     "postage_cost": 50,
     "processed_returns": 10
    },
    {
     "other_cost": 22,
     "labour_cost": 110.00000000000001,
     "postage_cost": 55.00000000000001,
     "processed_returns": 11
    }
   ],
   "maxItems": 200,
   "minItems": 2
  }
 }
}
```

## More

- Live health (JSON, refreshed every minute): https://www.zero.xyz/c/return-processing-cost-per-case-distribution-summary-362a0b54/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)