{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "32d2585f-9732-43c9-b7f8-3061f4a80e3d",
   "metadata": {},
   "source": [
    "**Example 3.3.** A manufacturer of lawn furniture makes two types of lawn\n",
    "chairs, one with a wood frame and one with a tubular aluminum frame. The\n",
    "wood–frame model costs \\\\$20 per unit to manufacture, and the aluminum–frame\n",
    "model costs \\\\$12 per unit. The company operates in a market where the number\n",
    "of units that can be sold depends on the price. It is estimated that in order\n",
    "to sell $x$ units per day of the wood–frame model and $y$ units per day of the\n",
    "aluminum–frame model, the selling price cannot exceed $10 + 31x^{−0.5} + 1.3y^{−0.2}$\n",
    "\\\\$/unit for wood–frame chairs, and $5 + 15y^{−0.4} + 0.8x^{−0.08}$ \\\\$/unit for aluminum–\n",
    "frame chairs. Find the optimal production levels."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0e52763-790d-43c3-8603-3ac774df8901",
   "metadata": {},
   "source": [
    "$x_1={}$the number of wood-frame chairs\\\n",
    "$x_2={}$the number of aluminum-frame chairs\\\n",
    "$p_1(x)={}$price to sell $x$ wood-frame chairs\\\n",
    "$p_2(x)={}$price to sell $y$ wood-frame chairs\\\n",
    "$P(x)={}$profit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "12d02d71-5092-4d75-a2e5-a8a85c7f4263",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Num}:\n",
       " x\n",
       " y"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Symbolics\n",
    "D(f,x)=expand_derivatives(Differential(x)(f))\n",
    "@variables x,y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6a170470-6953-4b90-aaff-5f4559dcc96f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "x*(-\u001b[96m10\u001b[39m + \u001b[96m1.3\u001b[39m / (y^\u001b[96m0.2\u001b[39m) + \u001b[96m31\u001b[39m / (x^\u001b[96m0.5\u001b[39m)) + (-\u001b[96m7\u001b[39m + \u001b[96m0.8\u001b[39m / (x^\u001b[96m0.08\u001b[39m) + \u001b[96m15\u001b[39m / (y^\u001b[96m0.4\u001b[39m))*y"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p1(x,y)=10+31*x^(-0.5)+1.3*y^(-0.2)\n",
    "p2(x,y)=5+15*y^(-0.4)+0.8*x^(-0.08)\n",
    "P(x,y)=(p1(x,y)-20)*x+(p2(x,y)-12)*y\n",
    "P(x,y)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61efa3ff-a169-4464-8d8b-c2e22386db62",
   "metadata": {},
   "source": [
    "(i) Graph level curves of the profit $P(x,y)$\n",
    "where $x$ is the number of wood-frame chairs produced\n",
    "and $y$ is the number of aluminum-frame chairs\n",
    "for $x\\in[1,8]$ and $y\\in[1,8]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "287ef84d-e7aa-47b2-a279-19e3849d3fa0",
   "metadata": {},
   "outputs": [],
   "source": [
    "using Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "054f1a29-d453-42ad-a11e-3a80af7495ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\" />"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "contour(1:0.1:8,1:0.1:8,P)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20669a64-2bf8-4f40-a4af-7afd630fe98a",
   "metadata": {},
   "source": [
    "(ii) Use Newton’s method for two variables to find\n",
    "the optimal pro duction levels and the corresponding\n",
    "profit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "68ec439b-04a4-40d8-93e3-d68c5df7f481",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Num}:\n",
       "                            -\u001b[96m10\u001b[39m + \u001b[96m1.3\u001b[39m / (y^\u001b[96m0.2\u001b[39m) + \u001b[96m-15.5\u001b[39m / (x^\u001b[96m0.5\u001b[39m) + \u001b[96m31\u001b[39m / (x^\u001b[96m0.5\u001b[39m) + (\u001b[96m-0.064\u001b[39my) / (x^\u001b[96m1.08\u001b[39m)\n",
       " -\u001b[96m7\u001b[39m + \u001b[96m0.8\u001b[39m / (x^\u001b[96m0.08\u001b[39m) + \u001b[96m-6.0\u001b[39m / (y^\u001b[96m0.3999999999999999\u001b[39m) + \u001b[96m15\u001b[39m / (y^\u001b[96m0.4\u001b[39m) + (\u001b[96m-0.26\u001b[39mx) / (y^\u001b[96m1.2000000000000002\u001b[39m)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gradP=Symbolics.gradient(P(x,y),[x,y])\n",
    "gradPs=\"F(x,y)=\"*string(Symbolics.toexpr(gradP))\n",
    "eval(Meta.parse(gradPs))\n",
    "F(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "187ec0ec-6d3e-425f-b10c-c2c7c398f769",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Num}:\n",
       " (\u001b[96m0.06912\u001b[39mx) / (y^\u001b[96m2.08\u001b[39m) + \u001b[96m7.75\u001b[39m / (y^\u001b[96m1.5\u001b[39m) + \u001b[96m-15.5\u001b[39m / (y^\u001b[96m1.5\u001b[39m)  …                  \u001b[96m-0.064\u001b[39m / (y^\u001b[96m1.08\u001b[39m) + \u001b[96m-0.26\u001b[39m / (x^\u001b[96m1.2\u001b[39m)\n",
       "                      \u001b[96m-0.064\u001b[39m / (y^\u001b[96m1.08\u001b[39m) + \u001b[96m-0.26\u001b[39m / (x^\u001b[96m1.2\u001b[39m)     (\u001b[96m0.312\u001b[39my) / (x^\u001b[96m2.2\u001b[39m) + \u001b[96m2.4\u001b[39m / (x^\u001b[96m1.4\u001b[39m) + \u001b[96m-6.0\u001b[39m / (x^\u001b[96m1.4\u001b[39m)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "DFn=Symbolics.jacobian(F(x,y),[x,y])\n",
    "DFs=\"DF(x,y)=\"*string(Symbolics.toexpr(DFn))\n",
    "eval(Meta.parse(DFs))\n",
    "DF(y,x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5c6f2098-db0c-49a2-8274-0ea1c61c12f1",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X_1=[3.0116984973338825, 2.1829892780771383]\n",
      "X_2=[3.01154242501657, 2.1941974399412607]\n",
      "X_3=[3.01154179832089, 2.1942340630131656]\n",
      "X_4=[3.0115417983142767, 2.194234063401063]\n",
      "X_5=[3.011541798314277, 2.194234063401064]\n",
      "\n",
      "The optimal production levels are\n",
      "\tWood-frame chairs: 3.011541798314277\n",
      "\tAluminum-fram chairs: 2.194234063401064\n",
      "The optimal profit is 37.31045402768908\n"
     ]
    }
   ],
   "source": [
    "Xn=[3,2]\n",
    "for n=1:5\n",
    "    Xn=Xn-DF(Xn...)\\F(Xn...)\n",
    "    println(\"X_$n=\",Xn)\n",
    "end\n",
    "Xopt=Xn\n",
    "Popt=P(Xopt...)\n",
    "println(\"\\nThe optimal production levels are\")\n",
    "println(\"\\tWood-frame chairs: \",Xopt[1])\n",
    "println(\"\\tAluminum-fram chairs: \",Xopt[2])\n",
    "println(\"The optimal profit is \",Popt)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70822e9c-f960-48aa-a5a7-7566e2d32a51",
   "metadata": {},
   "source": [
    "(iii) Denote by $c$ the per-unit cost of the aluminum-frame chairs\n",
    "and compute $S(x,c)$, $S(y,c)$ and $S(P,c)$\n",
    "evaluated at $c=12$.  Here $P$ is the profit\n",
    "at the optimal production values $x$ and $y$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "ad061e8f-c1c4-4602-abc1-556bb661aca6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1-element Vector{Num}:\n",
       " c"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@variables c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "4a9a853b-756e-4295-8b69-a7b3a579f036",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DF (generic function with 1 method)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "P(x,y)=(p1(x,y)-20)*x+(p2(x,y)-c)*y\n",
    "gradP=Symbolics.gradient(P(x,y),[x,y])\n",
    "gradPs=\"F(x,y)=\"*string(Symbolics.toexpr(gradP))\n",
    "eval(Meta.parse(gradPs))\n",
    "DFn=Symbolics.jacobian(F(x,y),[x,y])\n",
    "DFs=\"DF(x,y)=\"*string(Symbolics.toexpr(DFn))\n",
    "eval(Meta.parse(DFs))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3dde3f17-4341-4650-8e88-b5934f238566",
   "metadata": {},
   "source": [
    "At the optimum we have $F(x,y)=0$ where $F=\\nabla P$.\n",
    "Write $F=(f_1,f_2)$ and use implicit differetiation\n",
    "to obtain\n",
    "$$\n",
    "     {df_1\\over dc}\n",
    "     ={\\partial f_1\\over\\partial x}{dx\\over dc}\n",
    "     +{\\partial f_1\\over\\partial y}{dy\\over dc}\n",
    "     +{\\partial f_1\\over\\partial c}=0\n",
    "$$\n",
    "$$\n",
    "     {df_2\\over dc}\n",
    "     ={\\partial f_2\\over\\partial x}{dx\\over dc}\n",
    "     +{\\partial f_2\\over\\partial y}{dy\\over dc}\n",
    "     +{\\partial f_2\\over\\partial c}=0\n",
    "$$\n",
    "In vector format this may be written as\n",
    "$$\n",
    "    \\left[\\matrix{\n",
    "        \\partial f_1/\\partial x & \\partial f_1/\\partial y\\cr\n",
    "        \\partial f_2/\\partial x & \\partial f_2/\\partial y\\cr\n",
    "    }\\right]\n",
    "    \\left[\\matrix{dx/dc\\cr dy/dc}\\right]\n",
    "    =\n",
    "    -\\left[\\matrix{\n",
    "        \\partial f_1/\\partial c\\cr\n",
    "        \\partial f_2/\\partial c\\cr\n",
    "        }\\right].\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "6940cae3-e438-4756-b4e3-c24c3b8b5733",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Num}:\n",
       "                               -\u001b[96m10\u001b[39m + \u001b[96m1.3\u001b[39m / (y^\u001b[96m0.2\u001b[39m) + \u001b[96m-15.5\u001b[39m / (x^\u001b[96m0.5\u001b[39m) + \u001b[96m31\u001b[39m / (x^\u001b[96m0.5\u001b[39m) + (\u001b[96m-0.064\u001b[39my) / (x^\u001b[96m1.08\u001b[39m)\n",
       " \u001b[96m5\u001b[39m + \u001b[96m0.8\u001b[39m / (x^\u001b[96m0.08\u001b[39m) + \u001b[96m-6.0\u001b[39m / (y^\u001b[96m0.3999999999999999\u001b[39m) + \u001b[96m15\u001b[39m / (y^\u001b[96m0.4\u001b[39m) - c + (\u001b[96m-0.26\u001b[39mx) / (y^\u001b[96m1.2000000000000002\u001b[39m)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "F(x,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6e3a37be-2d67-4f19-a9c1-eabcad52bd86",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3-element Vector{Pair{Num, Float64}}:\n",
       " c => 12.0\n",
       " x => 3.011541798314277\n",
       " y => 2.194234063401064"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Convenient definition to evaluate things\n",
    "# at (x,y)=(xopt,yopt) and c=12 \n",
    "vopt=[c=>12,x=>Xopt[1],y=>Xopt[2]]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "56c80f84-206b-428f-af1a-a6b7f5bbc74a",
   "metadata": {},
   "source": [
    "For computational efficiency substitute\n",
    "$c=12$ and the corresponding optimal production\n",
    "values $(x,y)=(x_{\\rm opt},y_{\\rm opt})$ \n",
    "before solving the matrix equation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "8cf25dd9-e5e7-4bd6-91a3-50bf1c88242a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Int64}:\n",
       "  0\n",
       " -1"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Take partial derivatives element by element\n",
    "pFpc=(z->D(z,c)).(F(x,y))\n",
    "# Evaluate at c=12 and corresponding production levels\n",
    "tmp=substitute(pFpc,vopt)\n",
    "pFpcopt=eval(Symbolics.toexpr(tmp))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4ec2cd35-7d3d-460a-a591-6838523db859",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Matrix{Float64}:\n",
       " -1.46761   -0.120717\n",
       " -0.120717  -1.03137"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tmp=substitute(DF(x,y),vopt)\n",
    "# Evaluate at c=12 and corresponding production levels\n",
    "DFopt=eval(Symbolics.toexpr(tmp))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "af52fba0-e707-45f8-be9f-c9c44e79cb6b",
   "metadata": {},
   "source": [
    "Solve the system $(DF)(dX/dc)=-\\partial F/\\partial c$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "1eda9af2-8624-4ec0-b089-3cac45192856",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       "  0.08052759557880806\n",
       " -0.9790137492179721"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "dXdc=-DFopt\\pFpcopt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "302b1e79-e926-41d6-b812-a594be532181",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "S(x,c)=0.32087588738984285\n"
     ]
    }
   ],
   "source": [
    "Sxc=12/Xopt[1]*dXdc[1]\n",
    "println(\"S(x,c)=\",Sxc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "9380b2aa-6474-41cf-8a58-5f13ef8f58bc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "S(y,c)=-5.354107470378982\n"
     ]
    }
   ],
   "source": [
    "Syc=12/Xopt[2]*dXdc[2]\n",
    "println(\"S(y,c)=\",Syc)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e5e3a02-c217-4140-8f5b-2ab6be679954",
   "metadata": {},
   "source": [
    "By the chain rule\n",
    "$$\n",
    "    {dP\\over dc}\n",
    "    ={\\nabla P}{dX\\over dc}\n",
    "    +{\\partial P\\over\\partial c}.\n",
    "$$\n",
    "At the optimal production levels $\\nabla P=0$,\n",
    "therefore\n",
    "$$\n",
    "    S(P,c)={c\\over P}{\\partial P\\over\\partial c}\n",
    "        \\bigg|_{c=12,x=x_{\\rm opt},y=y_{\\rm opt}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "19bf2fc8-ea5d-4df9-88a7-1dd21db41209",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-2.194234063401064"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pPpc=D(P(x,y),c)\n",
    "tmp=substitute(pPpc,vopt)\n",
    "pPpcopt=eval(Symbolics.toexpr(tmp))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "bd289209-ed0c-45dc-9d71-08c2be2b422f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "S(P,c)=-0.7057220140304906\n"
     ]
    }
   ],
   "source": [
    "SPc=12/Popt*pPpcopt\n",
    "println(\"S(P,c)=\",SPc)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fafcc18d-73da-4432-ad86-212fef2d3341",
   "metadata": {},
   "source": [
    "(iv) Explain intuitively why each of the sensitivites\n",
    "$S(x,c)$, $S(y,c)$ and $S(P,c)$ are respectively\n",
    "either positive or negative."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d5aa68ab-937a-46ba-aca7-2a335e278a49",
   "metadata": {},
   "source": [
    "If the cost of producing aluminum-frame chairs goes\n",
    "up then the optimal production levels should switch\n",
    "to more wooden-frame chairs and less aluminum-frame\n",
    "chairs.\n",
    "\n",
    "Since $S(x,c)>0$ that means more wooden-frame chairs.\n",
    "\n",
    "Since $S(y,c)<0$ that means less aluminum-frame chairs.\n",
    "\n",
    "When production costs go up when $c$ increases we expect\n",
    "the profit to go down.  This is why $S(P,c)<0$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3cac4477-9838-44a3-a869-aa67854898f9",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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