## Introduction to Operations ResearchCD-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. |

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Table 4.3 compares the initial system of equations for the

Table 4.3 compares the initial system of equations for the

**Wyndor Glass**Co. problem in algebraic form ( on the left ) and in tabular form ( on the right ) , where the table on the right is called a simplex tableau .Page 127

TABLE 4.6 First two simplex tableaux for the

TABLE 4.6 First two simplex tableaux for the

**Wyndor Glass**Co. problem Coefficient of : Basic Variable Right Side Iteration Eq . N X1 X2 X3 X4 X5 Z 0 X3 X4 X5 ( 0 ) ( 1 ) ( 2 ) ( 3 ) 1 0 0 0 -3 1 0 3 -5 0 2 2 0 1 0 0 0 0 1 0 o 0 0 1 0 4 ...Page 157

X2 10 8 Z = 45 = 7.5x1 + 5x2 ( or Z = 18 = 3x1 + 2x2 ) Z = 36 = 3x1 + 5x2 ( 2,6 ) optimal Z = 30 = 0xı + 5x2 FIGURE 4.9 This graph demonstrates the sensitivity analysis of , and ( 2 for the

X2 10 8 Z = 45 = 7.5x1 + 5x2 ( or Z = 18 = 3x1 + 2x2 ) Z = 36 = 3x1 + 5x2 ( 2,6 ) optimal Z = 30 = 0xı + 5x2 FIGURE 4.9 This graph demonstrates the sensitivity analysis of , and ( 2 for the

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### Contents

SUPPLEMENT TO APPENDIX 3 | 3 |

Problems | 6 |

SUPPLEMENT TO CHAPTER | 18 |

Copyright | |

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### Common terms and phrases

activity additional algorithm allocation allowable amount apply assignment basic solution basic variable BF solution bound boundary called changes coefficients column complete Consider constraint Construct corresponding cost CPF solution decision variables demand described determine distribution dual problem entering equal equations estimates example feasible feasible region feasible solutions FIGURE final flow formulation functional constraints given gives goal identify illustrate increase indicates initial iteration linear programming Maximize million Minimize month needed node nonbasic variables objective function obtained operations optimal optimal solution original parameters path plant possible presented primal problem Prob procedure profit programming problem provides range remaining resource respective resulting revised shown shows side simplex method simplex tableau slack solve step supply Table tableau tion unit values weeks Wyndor Glass zero