{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# -*- coding: utf-8 -*-"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "PgAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106c8a1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#コブダグラス Y=(LK)**(1/2) (w=5 r=20 固定費用100 ) Y=20x+100 規模に関して収穫一定\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "fig, ax = plt.subplots()\n",
    "x = np.linspace(0, 60, 200)\n",
    "plt.ylim(0,1500)\n",
    "plt.title(\"constant returns to scale\")\n",
    "plt.xlabel(\"yield\")\n",
    "plt.ylabel(\"cost\")\n",
    "y=20*x+100\n",
    "ax.plot(x,y,'r-',linewidth=5)\n",
    "for i in range(1,100):\n",
    "    y = 100+(5*(x**2/i))+i*20\n",
    "    ax.plot(x, y, 'b-', linewidth=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "gtEIBAKBQMH8f0gI4SnTzMBkAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x106c8a390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#コブダグラス Y=(LK)**(1/4)( w=5 r=20 固定費用100 )Y=20x**2+100 規模に関して収穫逓減\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "fig, ax = plt.subplots()\n",
    "x = np.linspace(0, 10, 200)\n",
    "plt.ylim(0,1500)\n",
    "plt.title(\"increasing returns to scale\")\n",
    "plt.xlabel(\"yield\")\n",
    "plt.ylabel(\"cost\")\n",
    "y=100+20*x**2\n",
    "ax.plot(x, y, 'r-', linewidth=5)\n",
    "for i in range(1,100):\n",
    "    y = 100+(5*(x**4/i))+i*20\n",
    "    ax.plot(x, y, 'b-', linewidth=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "rkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10624a310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#コブダグラス Y=LK (w=5 r=20 固定100) Y=20x**(1/2)+100 規模に関して収穫逓増\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "fig, ax = plt.subplots()\n",
    "x = np.linspace(0, 1000, 200)\n",
    "plt.ylim(0,1500)\n",
    "plt.title(\"decreasing returns to scale\")\n",
    "plt.xlabel(\"yield\")\n",
    "plt.ylabel(\"cost\")\n",
    "y=100+20*(x**(0.5))\n",
    "ax.plot(x, y, 'r-', linewidth=5)\n",
    "for i in range(1,100):\n",
    "    y = 100+(5*(x/i))+i*20\n",
    "    ax.plot(x, y, 'b-', linewidth=2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}