homework week 9 please use the excel sheet that is with home work
P1 and P2
| The Livewright Medical Supplies Company | ||||||||||
| South | East | Midwest | ||||||||
| Earning | 600 | 540 | 375 | |||||||
| Constraint | ||||||||||
| Expense | 80 | 70 | 50 | <= | 750 | Budget constraint | ||||
| <= | 5 | Southern region must have no more than 5 sales people | ||||||||
| Decision variables | All decision variables MUST BE integers | |||||||||
| Objective function | Maximize Profits | |||||||||
| Solve the mixed integer linear programming model | ||||||||||
| x1 | x2 | x3 | ||||||||
| coefficients | 5 | 6 | 4 | |||||||
| constraints | 5 | 3 | 6 | <= | 20 | |||||
| 1 | 3 | 0 | <= | 12 | ||||||
| x1 | x2 | x3 | ||||||||
| >= 0, Real | >= 0, integer | >= 0, real | x2 must be integer | |||||||
| DV | ||||||||||
| Objective | ||||||||||
| Maximixe Z |
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P3
| Texas Consolidated Electronics Company | ||||||
| Project | Expense ($1,000s) | Management Scientists required | Estimated Profit | |||
| (1,000,000s) | Project Selection constraints | |||||
| 1 | $60 | 7 | $0.36 | |||
| 2 | 110 | 9 | 0.82 | |||
| 3 | 53 | 8 | 0.29 | |||
| 4 | 47 | 4 | 0.16 | |||
| 5 | 92 | 7 | 0.56 | |||
| 6 | 85 | 6 | 0.61 | |||
| 7 | 73 | 8 | 0.48 | |||
| 8 | 65 | 5 | 0.41 | |||
| Constraints | ||||||
| <= | <= | |||||
| 300 | 40 | |||||
| DV | Project | |||||
| 1 | ||||||
| 2 | Please include the following constraints in your solutions | |||||
| 3 | ||||||
| 4 | Note: project 5 >= project 2 | |||||
| 5 | ||||||
| 6 | Note: All projects must be integer (1 or 0) | |||||
| 7 | ||||||
| 8 | ||||||
| Objective | Maximize Profits |
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P4
| Terraco Motor Company | ||||||||||
| From Plant | Transportation Costs ($1000s) | Annual Production Capacity | Annual Fixed Operating Costs | |||||||
| to Warehouse | ||||||||||
| A | B | C | D | |||||||
| 1 | $56 | $21 | $32 | $65 | 12,000 | $2,100,000 | ||||
| 2 | 18 | 46 | 70 | 35 | 18,000 | 850,000 | Note F7 cell should be $70 NOT $7 | |||
| 3 | 12 | 71 | 41 | 52 | 14,000 | 1,800,000 | ||||
| 4 | 30 | 24 | 61 | 28 | 10,000 | 1,100,000 | ||||
| 5 | 45 | 50 | 26 | 31 | 16,000 | 900,000 | ||||
| Annual | 6,000 | 14,000 | 8,000 | 10,000 | ||||||
| Demand | ||||||||||
| DV | Plant to warehouse | A | B | C | D | Plant idle capacity | ||||
| 1 | = | 0 | ||||||||
| 2 | = | 0 | ||||||||
| 3 | = | 0 | ||||||||
| 4 | = | 0 | ||||||||
| 5 | = | 0 | ||||||||
| = | = | = | = | |||||||
| Annual Demand | 6,000 | 14,000 | 8,000 | 10,000 | ||||||
| DV | Plants Operation | |||||||||
| 1 | ||||||||||
| 2 | Plant operation is either 0 (close) or 1 (open) | |||||||||
| 3 | ||||||||||
| 4 | ||||||||||
| 5 | ||||||||||
| Objective | Minimize Cost |
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