3945-constrained optimization
Enpar manufactures engine parts for an automotive manufacturer. It operates two plants which have the following production functions:
Plant A: Qa = 30 Sa - 0.25 Sa^2
Plant B: Qb = 40Sb - 0.50Sb^2
where Qa is the unit output from plant A, Qb is the unit output from plant B and Sa and Sb are the units of the variable factor steel used, respectively at plant A and B.
A) Suppose the steel availability is 30 units. What is the optimal allocation between the two plants?
B) A sudden supplier problem reduces availability of steel to plant B by 10 units. How should Enpar reallocate steel between the plants? Explain.
By OTA: Jiong Tu, PhD (IP)
OTA Rating: 4.8/5
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