## Introduction to Operations Research, Volume 1CD-ROM contains: Student version of MPL Modeling System and its solver CPLEX -- MPL tutorial -- Examples from the text modeled in MPL -- Examples from the text modeled in LINGO/LINDO -- Tutorial software -- Excel add-ins: TreePlan, SensIt, RiskSim, and Premium Solver -- Excel spreadsheet formulations and templates. |

### From inside the book

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**graphical**method to solve the problem : Maximize Z = 2x1 + x2 , subject to and X2 ≤ 10 2x1 + 5x2≤ 60 x1 + x2 ≤ 18 3x1 + x2 ≤ 44 X2 ≥ 0 . D 3.1-5 . Use the**graphical**method to solve the problem : Maximize subject to and Z = 10x1 + ...Page 92

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**graphical**method to solve this model . ( c ) Verify the exact value of your optimal solution from part ( b ) by solving algebraically for the simultaneous solution of the relevant two equations . 3.1-10 . Weenies and Buns is a food ...Page 181

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**graphical**analysis as in Fig . 4.8 to determine the shadow prices for the respective resources . ( b ) Use**graphical**analysis to perform sensitivity analysis on this model . In particular , check each parameter of the model to determine ...### Other editions - View all

Introduction to Operations Research Frederick S. Hillier,Gerald J. Lieberman No preview available - 2001 |

### Common terms and phrases

activity algebraic algorithm allowable range artificial variables b₂ basic solution c₁ c₂ changes coefficients column Consider the following corresponding cost Courseware CPF solution CPLEX decision variables dual problem dynamic programming entering basic variable estimates example feasible region feasible solutions final simplex tableau final tableau flow following problem formulation functional constraints Gaussian elimination given graphical identify increase initial BF solution integer interior-point iteration leaving basic variable linear programming model linear programming problem LINGO LP relaxation lution Maximize subject Maximize Z maximum flow problem Minimize needed node nonbasic variables nonnegativity constraints objective function obtained optimal solution optimality test parameters path plant presented in Sec primal problem Prob procedure range to stay right-hand sides sensitivity analysis shadow prices simplex method slack variables solve the model Solver spreadsheet step subproblem surplus variables Table tion values weeks Wyndor Glass x₁ zero