5. Lab Week 5 Problem Solutions

5. Lab Week 5 Problem Solutions - Lab Week 5 Problem...

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Lab Week 5 Problem Solutions CHAPTER 3 LP: SENSITIVITY ANALYSIS AND COMPUTER SOLUTION INTERPRETATION 5. Protein/Fibre LP Model a. Range of optimality: 5 0 1 x Range of optimality: < 2 4 . 6 x Adjustable Cells Final Reduced Objective Allowabl e Allowabl e Cell Name Value Cost Coefficient Increase Decrease $C$ 7 Production X1 8 0 4 1 4 $D$ 7 Production X2 0 2 8 1E+30 1.6 b. The decrease would have no effect on the optimal values, but it would change the objective function. The new z would be 24. c. The shadow price is 1$. It is valid from 20 to infinity. d. The shadow price is 0$. It is valid from negative infinity to 24. ; e. It would have no impact on cost, as the shadow price is zero.
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13. FGH, horseback riding LP Sensitivity report Adjustable Cells Final Reduced Objective Allowable Allowabl e Cell Name Value Cost Coefficient Increase Decrease $C$7 Production F 0.00 -10.60 15 10.6 1E+30 $D$7 Production G 5.00 0.00 20 2.4 10.6 $E$7 Production H 32.00 0.00 14 36 1.5 Constraints Final Shadow Constraint Allowable Allowabl e Cell Name Value Price R.H. Side Increase Decrease $F$1 2 A Usage 158 0.000 210 1E+30 52 $F$1 3 B Usage 200 2.400 200 70.9090909 1 30 $F$1 4 C Usage 170 0.400 170 30 120 a. The optimal value are: F = 0, G = 5, and H = 32. The optimal profit is: Z = 15F+20G+14H = 15(0)+20(5)+14(32) = $548
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5. Lab Week 5 Problem Solutions - Lab Week 5 Problem...

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