{
 "schema": "catering-investment.v1",
 "question": "What single change to the kitchen serves the most complete meals?",
 "case": {
  "scenario": "S3",
  "summary": "12-customer lunch; cooker C2 is out from 20 to 60 minutes and an urgent order arrives.",
  "customers": 12,
  "meals": 14,
  "meal_ids": [
   "committed",
   "customer-0",
   "customer-1",
   "customer-2",
   "customer-3",
   "customer-4",
   "customer-5",
   "customer-6",
   "customer-7",
   "customer-8",
   "customer-9",
   "customer-10",
   "customer-11",
   "urgent"
  ],
  "lot_size": 10,
  "total_meals": 140,
  "horizon_minutes": 320,
  "time_origin": "10:30",
  "grid_minutes": 10,
  "workers": {
   "W1": [
    "prepare",
    "pack"
   ],
   "W2": [
    "clean"
   ],
   "W3": [
    "cook"
   ]
  },
  "equipment": {
   "prepare": [
    "P1"
   ],
   "cook": [
    "C1",
    "C2"
   ],
   "pack": [
    "K1"
   ]
  },
  "available_minutes": {
   "P1": 320,
   "C1": 320,
   "C2": 320,
   "K1": 320,
   "W1": 320,
   "W2": 320,
   "W3": 320
  },
  "outages": [
   {
    "resource": "C2",
    "start": 20,
    "end": 60
   }
  ],
  "urgent": [
   {
    "id": "urgent/main",
    "menu": "B",
    "lots": 1,
    "departure": 320,
    "revealed": 20,
    "priority": 1
   },
   {
    "id": "urgent/side",
    "menu": "C",
    "lots": 1,
    "departure": 320,
    "revealed": 20,
    "priority": 1
   }
  ]
 },
 "method": {
  "solver": "Raw-input CP reference (native slots, not the QUBO), same physical checker as all methods",
  "seconds": 240,
  "cp_workers": 2,
  "seeds": [
   2026,
   2027
  ],
  "optimality_proved": false,
  "quantum_training": 0,
  "veloxq_calls": 0,
  "physical_qpu_calls": 0,
  "tuple_order": "(U,W,B,R): missed complete meal lots, discarded component lots, new batches, plan changes; lower is better, compared left to right",
  "reproduce": ".venv/bin/python -m catering.investment --output NEW_DIR --seconds 240 --workers 2 --seed 2026"
 },
 "variants": [
  {
   "id": "baseline",
   "description": "Current kitchen: C2 outage plus urgent order (S3)",
   "scenario": "S3",
   "kind": "none",
   "label": "Current kitchen",
   "short": "Today",
   "status": "checked",
   "solver_status": "FEASIBLE",
   "tuple": [
    5,
    1,
    10,
    10
   ],
   "seeds_agree": true,
   "programs": 18182,
   "objective": 220594,
   "bound": 88156.0,
   "instance_sha256": "ce71b266577a016780f6b7a12c60a7a806acac030f4f00cfdbf4b4672a21c035",
   "per_seed": [
    {
     "seed": 2026,
     "tuple": [
      5,
      1,
      10,
      10
     ],
     "objective": 220594,
     "bound": 88156.0,
     "status": "FEASIBLE"
    },
    {
     "seed": 2027,
     "tuple": [
      5,
      1,
      10,
      10
     ],
     "objective": 220594,
     "bound": 88156.0,
     "status": "FEASIBLE"
    }
   ],
   "served_meals": [
    "customer-2",
    "customer-3",
    "customer-4",
    "customer-5",
    "customer-6",
    "customer-7",
    "customer-8",
    "customer-11",
    "urgent"
   ],
   "missed_meals": [
    "committed",
    "customer-0",
    "customer-1",
    "customer-9",
    "customer-10"
   ],
   "handovers": [
    {
     "meal": "customer-2",
     "time": 140
    },
    {
     "meal": "customer-3",
     "time": 160
    },
    {
     "meal": "customer-4",
     "time": 180
    },
    {
     "meal": "customer-5",
     "time": 200
    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-11",
     "time": 320
    },
    {
     "meal": "urgent",
     "time": 320
    }
   ],
   "worker_minutes": {
    "W1": {
     "pack": 190,
     "prepare": 110,
     "total": 300
    },
    "W2": {
     "clean": 110,
     "recovery_clean": 10,
     "total": 120
    },
    "W3": {
     "cook": 110,
     "total": 110
    }
   },
   "resource_minutes": {
    "C1": 200,
    "C2": 160,
    "K1": 190,
    "P1": 110
   },
   "batches": 11,
   "discarded_lots": 1,
   "meals_served": 90,
   "extra_meals_vs_today": 0,
   "waste_portions": 10,
   "register_multiplier": 1.0
  },
  {
   "id": "repair-c2",
   "description": "C2 repaired, no outage (S1)",
   "scenario": "S1",
   "kind": "equipment",
   "label": "Repair cooker C2 (no outage)",
   "short": "Repair C2",
   "resource": "C2",
   "status": "checked",
   "solver_status": "FEASIBLE",
   "tuple": [
    5,
    0,
    10,
    10
   ],
   "seeds_agree": true,
   "programs": 18416,
   "objective": 219810,
   "bound": 392.0,
   "instance_sha256": "ce71b266577a016780f6b7a12c60a7a806acac030f4f00cfdbf4b4672a21c035",
   "per_seed": [
    {
     "seed": 2026,
     "tuple": [
      5,
      0,
      10,
      10
     ],
     "objective": 219810,
     "bound": 392.0,
     "status": "FEASIBLE"
    },
    {
     "seed": 2027,
     "tuple": [
      5,
      0,
      10,
      10
     ],
     "objective": 219810,
     "bound": 392.0,
     "status": "FEASIBLE"
    }
   ],
   "served_meals": [
    "committed",
    "customer-3",
    "customer-4",
    "customer-5",
    "customer-6",
    "customer-7",
    "customer-8",
    "customer-11",
    "urgent"
   ],
   "missed_meals": [
    "customer-0",
    "customer-1",
    "customer-2",
    "customer-9",
    "customer-10"
   ],
   "handovers": [
    {
     "meal": "committed",
     "time": 80
    },
    {
     "meal": "customer-3",
     "time": 160
    },
    {
     "meal": "customer-4",
     "time": 180
    },
    {
     "meal": "customer-5",
     "time": 200
    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-11",
     "time": 320
    },
    {
     "meal": "urgent",
     "time": 320
    }
   ],
   "worker_minutes": {
    "W1": {
     "pack": 180,
     "prepare": 110,
     "total": 290
    },
    "W2": {
     "clean": 110,
     "total": 110
    },
    "W3": {
     "cook": 110,
     "total": 110
    }
   },
   "resource_minutes": {
    "C1": 180,
    "C2": 150,
    "K1": 180,
    "P1": 110
   },
   "batches": 11,
   "discarded_lots": 0,
   "meals_served": 90,
   "extra_meals_vs_today": 0,
   "waste_portions": 0,
   "register_multiplier": 1.01
  },
  {
   "id": "third-cooker",
   "description": "Add cooker C3",
   "scenario": "S3",
   "kind": "equipment",
   "label": "Third cooker C3",
   "short": "+ Cooker C3",
   "resource": "C3",
   "status": "checked",
   "solver_status": "FEASIBLE",
   "tuple": [
    5,
    0,
    10,
    10
   ],
   "seeds_agree": true,
   "programs": 27418,
   "objective": 219810,
   "bound": 392.0,
   "instance_sha256": "8468b32f15488fd577dd4c8dc206c7fd549e4caaaab3ff79d1556d03b4528a5e",
   "per_seed": [
    {
     "seed": 2026,
     "tuple": [
      5,
      0,
      10,
      10
     ],
     "objective": 219810,
     "bound": 392.0,
     "status": "FEASIBLE"
    },
    {
     "seed": 2027,
     "tuple": [
      5,
      0,
      10,
      10
     ],
     "objective": 219810,
     "bound": 406.0,
     "status": "FEASIBLE"
    }
   ],
   "served_meals": [
    "committed",
    "customer-4",
    "customer-5",
    "customer-6",
    "customer-7",
    "customer-8",
    "customer-9",
    "customer-11",
    "urgent"
   ],
   "missed_meals": [
    "customer-0",
    "customer-1",
    "customer-2",
    "customer-3",
    "customer-10"
   ],
   "handovers": [
    {
     "meal": "committed",
     "time": 80
    },
    {
     "meal": "customer-4",
     "time": 180
    },
    {
     "meal": "customer-5",
     "time": 200
    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-9",
     "time": 280
    },
    {
     "meal": "customer-11",
     "time": 320
    },
    {
     "meal": "urgent",
     "time": 320
    }
   ],
   "worker_minutes": {
    "W1": {
     "pack": 180,
     "prepare": 110,
     "total": 290
    },
    "W2": {
     "clean": 110,
     "recovery_clean": 10,
     "total": 120
    },
    "W3": {
     "cook": 110,
     "total": 110
    }
   },
   "resource_minutes": {
    "C1": 180,
    "C2": 70,
    "C3": 110,
    "K1": 180,
    "P1": 110
   },
   "batches": 11,
   "discarded_lots": 0,
   "meals_served": 90,
   "extra_meals_vs_today": 0,
   "waste_portions": 0,
   "register_multiplier": 1.51
  },
  {
   "id": "second-prep",
   "description": "Add prep station P2",
   "scenario": "S3",
   "kind": "equipment",
   "label": "Second prep station P2",
   "short": "+ Prep P2",
   "resource": "P2",
   "status": "checked",
   "solver_status": "FEASIBLE",
   "tuple": [
    5,
    1,
    10,
    10
   ],
   "seeds_agree": true,
   "programs": 36364,
   "objective": 220594,
   "bound": 88156.0,
   "instance_sha256": "bce0926a8bce24755a6c2e118de5828f89dc4d7567a791d7372897b9518527d8",
   "per_seed": [
    {
     "seed": 2026,
     "tuple": [
      5,
      1,
      10,
      10
     ],
     "objective": 220594,
     "bound": 88156.0,
     "status": "FEASIBLE"
    },
    {
     "seed": 2027,
     "tuple": [
      5,
      1,
      10,
      10
     ],
     "objective": 220594,
     "bound": 88156.0,
     "status": "FEASIBLE"
    }
   ],
   "served_meals": [
    "customer-3",
    "customer-4",
    "customer-5",
    "customer-6",
    "customer-7",
    "customer-8",
    "customer-9",
    "customer-11",
    "urgent"
   ],
   "missed_meals": [
    "committed",
    "customer-0",
    "customer-1",
    "customer-2",
    "customer-10"
   ],
   "handovers": [
    {
     "meal": "customer-3",
     "time": 160
    },
    {
     "meal": "customer-4",
     "time": 180
    },
    {
     "meal": "customer-5",
     "time": 200
    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-9",
     "time": 280
    },
    {
     "meal": "customer-11",
     "time": 320
    },
    {
     "meal": "urgent",
     "time": 320
    }
   ],
   "worker_minutes": {
    "W1": {
     "pack": 190,
     "prepare": 110,
     "total": 300
    },
    "W2": {
     "clean": 110,
     "recovery_clean": 10,
     "total": 120
    },
    "W3": {
     "cook": 110,
     "total": 110
    }
   },
   "resource_minutes": {
    "C1": 210,
    "C2": 150,
    "K1": 190,
    "P1": 30,
    "P2": 80
   },
   "batches": 11,
   "discarded_lots": 1,
   "meals_served": 90,
   "extra_meals_vs_today": 0,
   "waste_portions": 10,
   "register_multiplier": 2.0
  },
  {
   "id": "second-pack",
   "description": "Add packing station K2",
   "scenario": "S3",
   "kind": "equipment",
   "label": "Second packing line K2",
   "short": "+ Packing K2",
   "resource": "K2",
   "status": "unsupported",
   "reason": "This core profile requires exactly one packing line"
  },
  {
   "id": "second-cook-worker",
   "description": "Hire worker W4 who can cook",
   "scenario": "S3",
   "kind": "worker",
   "label": "Extra worker who can only cook",
   "short": "+ Cook",
   "skills": [
    "cook"
   ],
   "status": "checked",
   "solver_status": "FEASIBLE",
   "tuple": [
    5,
    1,
    10,
    10
   ],
   "seeds_agree": true,
   "programs": 36364,
   "objective": 220594,
   "bound": 88156.0,
   "instance_sha256": "743b1d326e0309a9291ddc179a7ab4215e53c501c15ff438b46edab2c7a5f01a",
   "per_seed": [
    {
     "seed": 2026,
     "tuple": [
      5,
      1,
      10,
      10
     ],
     "objective": 220594,
     "bound": 88156.0,
     "status": "FEASIBLE"
    },
    {
     "seed": 2027,
     "tuple": [
      5,
      1,
      10,
      10
     ],
     "objective": 220594,
     "bound": 88156.0,
     "status": "FEASIBLE"
    }
   ],
   "served_meals": [
    "customer-3",
    "customer-4",
    "customer-5",
    "customer-6",
    "customer-7",
    "customer-8",
    "customer-9",
    "customer-11",
    "urgent"
   ],
   "missed_meals": [
    "committed",
    "customer-0",
    "customer-1",
    "customer-2",
    "customer-10"
   ],
   "handovers": [
    {
     "meal": "customer-3",
     "time": 160
    },
    {
     "meal": "customer-4",
     "time": 180
    },
    {
     "meal": "customer-5",
     "time": 200
    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-9",
     "time": 280
    },
    {
     "meal": "customer-11",
     "time": 320
    },
    {
     "meal": "urgent",
     "time": 320
    }
   ],
   "worker_minutes": {
    "W1": {
     "pack": 190,
     "prepare": 110,
     "total": 300
    },
    "W2": {
     "clean": 110,
     "recovery_clean": 10,
     "total": 120
    },
    "W3": {
     "cook": 40,
     "total": 40
    },
    "W4": {
     "cook": 70,
     "total": 70
    }
   },
   "resource_minutes": {
    "C1": 180,
    "C2": 180,
    "K1": 190,
    "P1": 110
   },
   "batches": 11,
   "discarded_lots": 1,
   "meals_served": 90,
   "extra_meals_vs_today": 0,
   "waste_portions": 10,
   "register_multiplier": 2.0
  },
  {
   "id": "flexible-worker",
   "description": "Hire worker W4 for prepare, cook and pack",
   "scenario": "S3",
   "kind": "worker",
   "label": "Extra flexible worker: prepare, cook, pack",
   "short": "+ Flexible",
   "skills": [
    "prepare",
    "cook",
    "pack"
   ],
   "status": "checked",
   "solver_status": "FEASIBLE",
   "tuple": [
    3,
    1,
    12,
    12
   ],
   "seeds_agree": true,
   "programs": 150080,
   "objective": 132844,
   "bound": 88156.0,
   "instance_sha256": "85c14ccfe6b584ccc352ca8e157152b25274c4f644a5d36abea7eae8735aab3d",
   "per_seed": [
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     "seed": 2026,
     "tuple": [
      3,
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      12,
      12
     ],
     "objective": 132844,
     "bound": 88156.0,
     "status": "FEASIBLE"
    },
    {
     "seed": 2027,
     "tuple": [
      3,
      1,
      12,
      12
     ],
     "objective": 132844,
     "bound": 88156.0,
     "status": "FEASIBLE"
    }
   ],
   "served_meals": [
    "customer-1",
    "customer-2",
    "customer-3",
    "customer-4",
    "customer-5",
    "customer-6",
    "customer-7",
    "customer-8",
    "customer-9",
    "customer-10",
    "customer-11"
   ],
   "missed_meals": [
    "committed",
    "customer-0",
    "urgent"
   ],
   "handovers": [
    {
     "meal": "customer-1",
     "time": 120
    },
    {
     "meal": "customer-2",
     "time": 140
    },
    {
     "meal": "customer-3",
     "time": 160
    },
    {
     "meal": "customer-4",
     "time": 180
    },
    {
     "meal": "customer-5",
     "time": 200
    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-9",
     "time": 280
    },
    {
     "meal": "customer-10",
     "time": 300
    },
    {
     "meal": "customer-11",
     "time": 320
    }
   ],
   "worker_minutes": {
    "W1": {
     "pack": 140,
     "prepare": 50,
     "total": 190
    },
    "W2": {
     "clean": 130,
     "recovery_clean": 10,
     "total": 140
    },
    "W3": {
     "cook": 100,
     "total": 100
    },
    "W4": {
     "cook": 30,
     "pack": 90,
     "prepare": 80,
     "total": 200
    }
   },
   "resource_minutes": {
    "C1": 240,
    "C2": 180,
    "K1": 230,
    "P1": 130
   },
   "batches": 13,
   "discarded_lots": 1,
   "meals_served": 110,
   "extra_meals_vs_today": 20,
   "waste_portions": 10,
   "register_multiplier": 8.25
  },
  {
   "id": "worker-prepare",
   "description": "Hire worker W4 who can only prepare",
   "scenario": "S3",
   "kind": "worker",
   "label": "Extra worker: prepare only",
   "short": "+ Prep helper",
   "skills": [
    "prepare"
   ],
   "status": "checked",
   "solver_status": "FEASIBLE",
   "tuple": [
    3,
    1,
    12,
    12
   ],
   "seeds_agree": true,
   "programs": 37520,
   "objective": 132844,
   "bound": 88156.0,
   "instance_sha256": "b212807c4e717f3fc5f0ba88f4c6b50c0a33c7c2f41e566423f980b6b031d1e8",
   "per_seed": [
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     "seed": 2026,
     "tuple": [
      3,
      1,
      12,
      12
     ],
     "objective": 132844,
     "bound": 88156.0,
     "status": "FEASIBLE"
    },
    {
     "seed": 2027,
     "tuple": [
      3,
      1,
      12,
      12
     ],
     "objective": 132844,
     "bound": 88156.0,
     "status": "FEASIBLE"
    }
   ],
   "served_meals": [
    "customer-1",
    "customer-2",
    "customer-3",
    "customer-4",
    "customer-5",
    "customer-6",
    "customer-7",
    "customer-8",
    "customer-9",
    "customer-11",
    "urgent"
   ],
   "missed_meals": [
    "committed",
    "customer-0",
    "customer-10"
   ],
   "handovers": [
    {
     "meal": "customer-1",
     "time": 120
    },
    {
     "meal": "customer-2",
     "time": 140
    },
    {
     "meal": "customer-3",
     "time": 160
    },
    {
     "meal": "customer-4",
     "time": 180
    },
    {
     "meal": "customer-5",
     "time": 200
    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-9",
     "time": 280
    },
    {
     "meal": "customer-11",
     "time": 320
    },
    {
     "meal": "urgent",
     "time": 320
    }
   ],
   "worker_minutes": {
    "W1": {
     "pack": 230,
     "prepare": 10,
     "total": 240
    },
    "W2": {
     "clean": 130,
     "recovery_clean": 10,
     "total": 140
    },
    "W3": {
     "cook": 130,
     "total": 130
    },
    "W4": {
     "prepare": 120,
     "total": 120
    }
   },
   "resource_minutes": {
    "C1": 240,
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    "K1": 230,
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   },
   "batches": 13,
   "discarded_lots": 1,
   "meals_served": 110,
   "extra_meals_vs_today": 20,
   "waste_portions": 10,
   "register_multiplier": 2.06
  },
  {
   "id": "worker-pack",
   "description": "Hire worker W4 who can only pack",
   "scenario": "S3",
   "kind": "worker",
   "label": "Extra worker: pack only",
   "short": "+ Packing helper",
   "skills": [
    "pack"
   ],
   "status": "checked",
   "solver_status": "FEASIBLE",
   "tuple": [
    3,
    1,
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    12
   ],
   "seeds_agree": true,
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   "instance_sha256": "bf53d6fed6bb4550f3504cf807c912cddff24dc51c943967bdf34875eaf162c3",
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     ],
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    },
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   ],
   "served_meals": [
    "customer-1",
    "customer-2",
    "customer-3",
    "customer-4",
    "customer-5",
    "customer-6",
    "customer-7",
    "customer-8",
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    "urgent"
   ],
   "missed_meals": [
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   ],
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    },
    {
     "meal": "customer-2",
     "time": 140
    },
    {
     "meal": "customer-3",
     "time": 160
    },
    {
     "meal": "customer-4",
     "time": 180
    },
    {
     "meal": "customer-5",
     "time": 200
    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-9",
     "time": 280
    },
    {
     "meal": "customer-11",
     "time": 320
    },
    {
     "meal": "urgent",
     "time": 320
    }
   ],
   "worker_minutes": {
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     "pack": 10,
     "prepare": 130,
     "total": 140
    },
    "W2": {
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     "total": 140
    },
    "W3": {
     "cook": 130,
     "total": 130
    },
    "W4": {
     "pack": 220,
     "total": 220
    }
   },
   "resource_minutes": {
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    "C2": 160,
    "K1": 230,
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   },
   "batches": 13,
   "discarded_lots": 1,
   "meals_served": 110,
   "extra_meals_vs_today": 20,
   "waste_portions": 10,
   "register_multiplier": 2.0
  },
  {
   "id": "worker-prepare-pack",
   "description": "Hire worker W4 for prepare and pack",
   "scenario": "S3",
   "kind": "worker",
   "label": "Extra worker: prepare and pack",
   "short": "+ Prep/pack",
   "skills": [
    "prepare",
    "pack"
   ],
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   "solver_status": "FEASIBLE",
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   ],
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   ],
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    "customer-6",
    "customer-7",
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   ],
   "missed_meals": [
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    "customer-10"
   ],
   "handovers": [
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     "meal": "customer-1",
     "time": 120
    },
    {
     "meal": "customer-2",
     "time": 140
    },
    {
     "meal": "customer-3",
     "time": 160
    },
    {
     "meal": "customer-4",
     "time": 180
    },
    {
     "meal": "customer-5",
     "time": 200
    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-9",
     "time": 280
    },
    {
     "meal": "customer-11",
     "time": 320
    },
    {
     "meal": "urgent",
     "time": 320
    }
   ],
   "worker_minutes": {
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     "pack": 40,
     "prepare": 30,
     "total": 70
    },
    "W2": {
     "clean": 130,
     "recovery_clean": 10,
     "total": 140
    },
    "W3": {
     "cook": 130,
     "total": 130
    },
    "W4": {
     "pack": 190,
     "prepare": 100,
     "total": 290
    }
   },
   "resource_minutes": {
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    "C2": 210,
    "K1": 230,
    "P1": 130
   },
   "batches": 13,
   "discarded_lots": 1,
   "meals_served": 110,
   "extra_meals_vs_today": 20,
   "waste_portions": 10,
   "register_multiplier": 4.13
  },
  {
   "id": "worker-prepare-cook",
   "description": "Hire worker W4 for prepare and cook",
   "scenario": "S3",
   "kind": "worker",
   "label": "Extra worker: prepare and cook",
   "short": "+ Prep/cook",
   "skills": [
    "prepare",
    "cook"
   ],
   "status": "checked",
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   ],
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     ],
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   ],
   "served_meals": [
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    "customer-5",
    "customer-6",
    "customer-7",
    "customer-8",
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   ],
   "missed_meals": [
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   ],
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     "meal": "customer-1",
     "time": 120
    },
    {
     "meal": "customer-2",
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    },
    {
     "meal": "customer-3",
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    },
    {
     "meal": "customer-4",
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    },
    {
     "meal": "customer-5",
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    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-9",
     "time": 280
    },
    {
     "meal": "customer-10",
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    },
    {
     "meal": "customer-11",
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    }
   ],
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     "pack": 230,
     "prepare": 20,
     "total": 250
    },
    "W2": {
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     "total": 140
    },
    "W3": {
     "cook": 50,
     "total": 50
    },
    "W4": {
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     "total": 190
    }
   },
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   },
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   "waste_portions": 10,
   "register_multiplier": 4.13
  },
  {
   "id": "worker-cook-pack",
   "description": "Hire worker W4 for cook and pack",
   "scenario": "S3",
   "kind": "worker",
   "label": "Extra worker: cook and pack",
   "short": "+ Cook/pack",
   "skills": [
    "cook",
    "pack"
   ],
   "status": "checked",
   "solver_status": "FEASIBLE",
   "tuple": [
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    12
   ],
   "seeds_agree": true,
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     ],
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     "bound": 88156.0,
     "status": "FEASIBLE"
    },
    {
     "seed": 2027,
     "tuple": [
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     ],
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   ],
   "served_meals": [
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    "customer-5",
    "customer-6",
    "customer-7",
    "customer-8",
    "customer-9",
    "customer-11",
    "urgent"
   ],
   "missed_meals": [
    "committed",
    "customer-0",
    "customer-10"
   ],
   "handovers": [
    {
     "meal": "customer-1",
     "time": 120
    },
    {
     "meal": "customer-2",
     "time": 140
    },
    {
     "meal": "customer-3",
     "time": 160
    },
    {
     "meal": "customer-4",
     "time": 180
    },
    {
     "meal": "customer-5",
     "time": 200
    },
    {
     "meal": "customer-6",
     "time": 220
    },
    {
     "meal": "customer-7",
     "time": 240
    },
    {
     "meal": "customer-8",
     "time": 260
    },
    {
     "meal": "customer-9",
     "time": 280
    },
    {
     "meal": "customer-11",
     "time": 320
    },
    {
     "meal": "urgent",
     "time": 320
    }
   ],
   "worker_minutes": {
    "W1": {
     "pack": 110,
     "prepare": 130,
     "total": 240
    },
    "W2": {
     "clean": 130,
     "recovery_clean": 10,
     "total": 140
    },
    "W3": {
     "cook": 60,
     "total": 60
    },
    "W4": {
     "cook": 70,
     "pack": 120,
     "total": 190
    }
   },
   "resource_minutes": {
    "C1": 240,
    "C2": 180,
    "K1": 230,
    "P1": 130
   },
   "batches": 13,
   "discarded_lots": 1,
   "meals_served": 110,
   "extra_meals_vs_today": 20,
   "waste_portions": 10,
   "register_multiplier": 4.0
  }
 ],
 "decision": {
  "best_missed_lots": 3,
  "today_missed_lots": 5,
  "extra_meals": 20,
  "fewest_skills_sufficient": "worker-pack",
  "equally_few_skills": [
   "worker-prepare",
   "worker-pack"
  ],
  "equipment_improved_service_in_runs": false,
  "bottleneck": "W1 is the only worker who can prepare and the only one who can pack.",
  "claims": [
   "The best found third-cooker and repaired-C2 plans serve the same number of meals as today, while wasting one fewer component lot (ten portions).",
   "Adding a worker qualified for prepare or pack produces plans serving two more lots, or 20 more meals per lunch service; a cook-only worker gives no observed service gain.",
   "A single-task packing or prep helper attains the same U=3 as a fully flexible worker: a sufficient skill set, not the cheapest hire, because wages were not supplied.",
   "The observed 20-meal gain breaks even when its contribution margin covers the extra shift cost.",
   "No run proved optimality: this does not certify that equipment can never help or that 20 meals is the maximum gain."
  ],
  "price_of_realism": "A flexible worker multiplies the complete program register 8.3x (18,182 to 150,080); a single-task helper 2.0x (36,364)."
 },
 "notes": [
  "Best plans found within 240 s, not certified optima; both seeds return the same tuples.",
  "The core profile requires exactly one packing line, so a second line is reported as unsupported, not approximated.",
  "This is a classical decision study on the same model; the quantum methods solve cut portfolios of this register."
 ],
 "doc": "docs/CATERING_INVESTMENT.md",
 "code": "catering/investment.py",
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}