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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