Question: Optimal Obj. Value z=14,666.67 Variable Xi Value 333.33 0 833.33 2500 Reduced Cost 0 0.167 0 0 X X4 Constraint 1 2 3 4. 5

Optimal Obj. Value z=14,666.67 Variable Xi Value 333.33 0 833.33 2500 Reduced Cost 0 0.167 0 0 X X4 Constraint 1 2 3 4. 5 6 Variable Slack and Surplus 0 0 66,666.67 100,000 33,333.33 0 Obj. Coefficient Dual Value -2.776 0.833 0 0 0 -0.0033 Allowable Increase 1 1E+30 0.4 0.133 X1 Allowable Decrease 0.5 0.167 0.8 1E+30 10 3.5 4. 3.2 X2 x3 X4 Constraint RHS Value 1 2. 3 4 5 6 200,000 18,000 100,000 100,000 100,000 100,000 Allowable Increase 16,666.67 4000 1E+30 1E+30 1E+30 50,000 Allowable Decrease 33,333.33 2000 66,666.67 100,000 33,333.33 100,000 Min z 10x , +3.5x2 + 4x, +3.2% st 100% + 50x 2 +80x, + 40x5 200,000 12x, +4x2+ 4.8x, + 4x, 218,000 100x 5100,000 Sox, 5 100,000 80x; $100,000 40x5100,000 X, X2, X3.X.20 Use Computer Output 5. Suppose the right hand side of constraint 6 increases by 500. Which one of the following statements is guaranteed to be true? the dual price of 0.0033 is no longer valid the problem must be resolved the 2-value becomes 15,166.67 the approximate z-value becomes 14,665

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