{
  "kind": "authored hypothetical arithmetic, NOT model inference or measured business outcomes",
  "assumptions": [
    "p is calibrated urgent probability for the intended task",
    "correct routing has zero added cost",
    "false urgent cost=2; missed urgent cost=18",
    "review always correct at fixed cost=1; no waiting or capacity limits"
  ],
  "two_action_boundary": "1/10",
  "with_review_boundaries": [
    "1/18",
    "1/2"
  ],
  "ties": "equal expected costs; choose a tie policy separately",
  "cases": [
    {
      "hypothetical_probability": 0.02,
      "costs": {
        "urgent": 1.96,
        "normal": 0.36,
        "review": 1.0
      },
      "lowest_cost_action": "normal"
    },
    {
      "hypothetical_probability": 0.08,
      "costs": {
        "urgent": 1.84,
        "normal": 1.44,
        "review": 1.0
      },
      "lowest_cost_action": "review"
    },
    {
      "hypothetical_probability": 0.2,
      "costs": {
        "urgent": 1.6,
        "normal": 3.6,
        "review": 1.0
      },
      "lowest_cost_action": "review"
    },
    {
      "hypothetical_probability": 0.6,
      "costs": {
        "urgent": 0.8,
        "normal": 10.8,
        "review": 1.0
      },
      "lowest_cost_action": "urgent"
    }
  ],
  "counterconditions": [
    "human errors, review waiting and limited capacity",
    "uncalibrated probability or domain shift",
    "cost changes by case or queue load"
  ]
}