Chapter 7 homework

# Chapter 7 homework - 7 1 Chapter 7 x 3 x 4 = 0 No change in...

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Chapter 7 Homework Solutions 7. a. x 1 + x 3 + x 5 + x 6 = 2 b. x 3 - x 5 = 0 c. x 1 + x 4 = 1 d. x 4 x 1 x 4 x 3 e. x 4 x 1 x 4 x 3 x 4 x 1 + x 3 - 1 8. a. Let 1 if investment alternative is selected 0 otherwise i i x = max 4000 x 1 + 6000 x 2 + 10500 x 3 + 4000 x 4 + 8000 x 5 + 3000 x 6 s.t. 3000 x 1 + 2500 x 2 + 6000 x 3 + 2000 x 4 + 5000 x 5 + 1000 x 6 10,500 1000 x 1 + 3500 x 2 + 4000 x 3 + 1500 x 4 + 1000 x 5 + 500 x 6 7,000 4000 x 1 + 3500 x 2 + 5000 x 3 + 1800 x 4 + 4000 x 5 + 900 x 6 8,750 x 1 , x 2 , x 3 , x 4 , x 5 , x 6 = 0, 1 Optimal Solution found using The Management Scientist or LINDO x 3 = 1 x 4 = 1 x 6 = 1 Value = 17,500 b. The following mutually exclusive constraint must be added to the model. x 1 + x 2 1 No change in optimal solution. c. The following co-requisite constraint must be added to the model in b.

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Unformatted text preview: 7 - 1 Chapter 7 x 3- x 4 = 0. No change in optimal solution. 13. a. One just needs to add the following multiple choice constraint to the problem. y 1 + y 2 = 1 New Optimal Solution: y 1 = 1, y 3 = 1, x 12 = 10, x 31 = 30, x 52 = 10, x 53 = 20 Value = 940 b. Since one plant is already located in St. Louis, it is only necessary to add the following constraint to the model y 3 + y 4 ≤ 1 New Optimal Solution: y 4 = 1, x 42 = 20, x 43 = 20, x 51 = 30 Value = 860 7 - 2...
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Chapter 7 homework - 7 1 Chapter 7 x 3 x 4 = 0 No change in...

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