## 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 267

Analyzing Simultaneous

values are changed simultaneously , the formula b * = S * b can again be used to

see how the righthand sides

Analyzing Simultaneous

**Changes**in Right - Hand Sides . When multiple b ;values are changed simultaneously , the formula b * = S * b can again be used to

see how the righthand sides

**change**in the final tableau . If all these right - hand ...Page 273

Analyzing Simultaneous

Regardless of whether X ; is a basic or nonbasic variable , the allowable range to

stay optimal for c ; is valid only if this objective function coefficient is the only one

being ...

Analyzing Simultaneous

**Changes**in Objective Function Coefficients .Regardless of whether X ; is a basic or nonbasic variable , the allowable range to

stay optimal for c ; is valid only if this objective function coefficient is the only one

being ...

Page 316

The set of basic variables in the optimal solution still

only where the slope of Z * ( 0 )

case , the values of these variables now

between ...

The set of basic variables in the optimal solution still

**changes**( as o increases )only where the slope of Z * ( 0 )

**changes**. However , in contrast to the precedingcase , the values of these variables now

**change**as a ( linear ) function ofbetween ...

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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