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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Chapter 8 - Linear Programming and Game Theory"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Ex:8.2.2 Pg: 238"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {
+ "collapsed": false
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "New corner: [ 0. 0. 0. 0.33333333 3. ]\n",
+ "Minimum cost: -9.33333333333\n"
+ ]
+ }
+ ],
+ "source": [
+ "from scipy.optimize import linprog\n",
+ "from numpy import array, transpose\n",
+ "A=array([[1, 0 ,1 ,6, 2],[0, 1, 1, 0, 3]])\n",
+ "b=transpose(array([8, 9]))\n",
+ "c=transpose(array([0, 0, 7 ,-1, -3]))\n",
+ "lb=transpose(array([0, 0 ,0 ,0 ,0]))\n",
+ "ub=[]\n",
+ "ans=linprog(c,A,b)\n",
+ "x=ans.x\n",
+ "f=ans.fun\n",
+ "print 'New corner:',x\n",
+ "print 'Minimum cost:',f"
+ ]
+ }
+ ],
+ "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
+}