Linear Programming -- Objective Sensitivity

For x 2 final value 0 but reduced cost 0 final

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For X 2 , Final Value ≠ 0, but Reduced Cost = 0. Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$4 Dozen Space Rays - (2.75) 1 2.75 1E+30 $C$4 Dozen Zappers 600 - 5 1E+30 3.666666667
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Complementary Slackness Complementary Slackness MAX 8X MAX 8X 1 1 + 5X + 5X 2 2 For Space Rays, Final Value > 0, but Reduced Cost = 0. For Zappers, Final Value > 0, but Reduced Cost = 0. Sensitivity report for the problem
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Complementary Slackness Complementary Slackness An important concept in linear programming is that of complementary slackness. It states: It can happen, that both are 0. Complementary Slackness For Objective Function Coefficients For each variable, either its value or its reduced cost will be 0.
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Review Review Reasons for Sensitivity Analyses Approximations Dynamic Changes What-If Range of Optimality for Objective Function Coefficients Excel Reduced Cost – Two Meanings/Calculations How much an objective coefficient must change before the variable can be positive. Change to profit for a 1-unit increase in a variable whose optimal value is 0. Complementary Slackness
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