Solve for wings

ipynb.ipynb

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     "text": [
      "Max orders for three digits of wings: 7.0\n"
     ]
    }
   ],
   "source": [
    "from ortools.linear_solver import pywraplp\n",
    "\n",
    "COUNTS = [\n",
    "    4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, \n",
    "    24, 25, 26, 27, 28, 29, 30, 35, 40, 45, 50, 60, 70, 75, 80, 90, 100, 125, \n",
    "    150, 200\n",
    "]\n",
    "    \n",
    "# PRICES = dict(\n",
    "#     zip(\n",
    "#         wingCounts,\n",
    "#         [\n",
    "#             4.55, 5.70, 6.80, 7.95, 9.10, 10.20, 11.35, 12.50, 13.60, 14.75, 15.90, 17.00, \n",
    "#             18.15, 19.30, 20.40, 21.55, 22.70, 23.80, 24.95, 26.10, 27.25, 27.80, 28.95, \n",
    "#             30.10, 31.20, 32.35, 33.50, 39.15, 44.80, 50.50, 55.60, 67.00, 78.30, 83.45, \n",
    "#             89.10, 100.45, 111.25, 139.00, 166.85, 222.50\n",
    "#         ]\n",
    "#     )\n",
    "# )\n",
    "\n",
    "def solve_for_wings(n):\n",
    "    solver = pywraplp.Solver(\n",
    "        'SolveIntegerProblem',\n",
    "        pywraplp.Solver.CBC_MIXED_INTEGER_PROGRAMMING\n",
    "    )\n",
    "    objective = solver.Objective()\n",
    "    constraint = solver.Constraint(n, n)\n",
    "    for count in COUNTS:\n",
    "        xn = solver.IntVar(0, n, 'x%d' % count)\n",
    "        objective.SetCoefficient(xn, 1)\n",
    "        constraint.SetCoefficient(xn, count)\n",
    "    objective.SetMinimization()\n",
    "    result_status = solver.Solve()\n",
    "    assert result_status == pywraplp.Solver.OPTIMAL\n",
    "    return solver.Objective().Value()\n",
    "\n",
    "print('Max orders for three digits of wings: {}'.format(max(map(solve_for_wings, range(100, 1000)))))"
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