## 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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Page 286

( c ) Demonstrate graphically that the

( c ) Demonstrate graphically that the

**dual problem**has an unbounded objective function . x1 + x2 + 2x3 = 12 x1 + x2 x3 1 and X1 20 ... ( b ) Use duality theory to show that the optimal solution for the primal problem has Z < 0 .Page 287

For any linear programming problem in our standard form and its

For any linear programming problem in our standard form and its

**dual problem**, label each of the following statements as true ... and the number of variables ( before augmenting ) is the same for both the primal and the**dual problems**.Page 288

would x220 sic solution for the

would x220 sic solution for the

**dual problem**by using Eq . ( 0 ) for the pri( a ) How you identify the optimal solution for the dual mal problem . Then draw your conclusions about whether these problem ? two basic solutions are optimal ...### What people are saying - Write a review

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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