week 9 Homework question>>>>>>>>>>xoon only
P6 and P10
| The Livewright Medical Supplies Company | ||||||||
| South | East | Midwest | ||||||
| Earning | 600 | 540 | 375 | |||||
| Constraint | ||||||||
| Expense | 80 | 70 | 50 | <= | 750 | |||
| 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 | ||||
| >= 0 | >= 0, integer | >= 0 | ||||||
| DV | x2 must be integer | |||||||
| Objective | Maximixe Z |
P14
| 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 | >= | 0 | ||||||
| <= | <= | >= | 2 | |||||
| 300 | 40 | |||||||
| DV | Project | |||||||
| 1 | ||||||||
| 2 | ||||||||
| 3 | ||||||||
| 4 | ||||||||
| 5 | ||||||||
| 6 | ||||||||
| 7 | ||||||||
| 8 | ||||||||
| Objective | Maximize Profits |
P20
| 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 | 7 | 35 | 18,000 | 850,000 | |||
| 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 | 12000 | 0 | 0 | = | 0 | |||
| 2 | 0 | 0 | 0 | 0 | = | 0 | |||
| 3 | 0 | 0 | 0 | 0 | = | 0 | |||
| 4 | 6000 | 2000 | 0 | 2000 | = | 0 | |||
| 5 | 0 | 0 | 8000 | 8000 | = | 0 | |||
| = | = | = | = | ||||||
| Annual Demand | 6,000 | 14,000 | 8,000 | 10,000 | |||||
| Plants Operation | |||||||||
| 1 | |||||||||
| 2 | Plant operation is either 0 (close) or 1 (open) | ||||||||
| 3 | |||||||||
| 4 | |||||||||
| 5 | |||||||||
| Objective | Minimize Cost |
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The Livewright Medical Supplies Company
Earning
Expense
Decision variables