duality_theorem.ipynb

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     "text": [
      "Primal:  4.75\n"
     ]
    }
   ],
   "source": [
    "c = [2, 3, 0, 0, 0]\n",
    "A = [\n",
    "    [4, 8, 1, 0, 0],\n",
    "    [2, 1, 0, 1, 0],\n",
    "    [3, 2, 0, 0, 1]\n",
    "]\n",
    "b = [12, 3, 4]\n",
    "\n",
    "primal = to_objective_function_value(c, simplex(c, A, b))\n",
    "print('Primal: ', primal)"
   ]
  },
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   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dual:  4.75\n"
     ]
    }
   ],
   "source": [
    "c = [12, 3, 4, 0, 0]\n",
    "A = [\n",
    "    [-4, -2, -3,  1,  0],\n",
    "    [-8, -1, -2,  0,  1]\n",
    "]\n",
    "b = [-2, -3]\n",
    "\n",
    "dual = to_objective_function_value(c, dual_simplex(c, A, b))\n",
    "print('Dual: ', dual)"
   ]
  }
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