GAMS- Case Study
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Write the algebraic formulation of Case 6.1 (Giant Motor Company) in your textbook and solve using Excel or GAMS, and report your findings.
Model
Giant Motor Company | |||||
Assumptions | |||||
The Lyra and/or Libra plants can be retooled | |||||
The Hydra plant must stay open and cannot be retooled | |||||
There is no incentive to produce more than demand | |||||
Plant characteristics | |||||
Lyra | Libra | Hydra | New Lyra | New Libra | |
Capacity (in millions) | 1 | 0.8 | 0.9 | 1.6 | 1.8 |
Fixed cost (in $billions) | 2 | 2 | 2.6 | 3.4 | 3.7 |
Profit margin (in $1000s) per car (large negative numbers mean the plant can’t make that car) | |||||
Lyra | Libra | Hydra | New Lyra | New Libra | |
Lyra | 2 | -100 | -100 | 2.5 | 2.3 |
Libra | -100 | 3 | -100 | 3 | 3.5 |
Hydra | -100 | -100 | 5 | -100 | 4.8 |
Demand (in millions) | |||||
Lyra | 1.4 | ||||
Libra | 1.1 | ||||
Hydra | 0.8 | ||||
Demand diversion matrix (from along side, to along top) | |||||
Lyra | Libra | Hydra | |||
Lyra | NA | 0.3 | 0.05 | ||
Libra | 0 | NA | 0.1 | ||
Hydra | 0 | 0 | NA |
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