A Steel Manufacturing Company Has Two Production Facilities That Manufacture

A Steel Manufacturing company has two production facilities that manufacture Dishwashers. Production costs at the two facilities differ because of varying labor costs, local property taxes, type of material used, volume, and so on. For Plant A, the weekly costs for producing a number of units of Dishwashers is expressed as a function:
TC_A(X) = X² - 2X + 12000
where X is the weekly production volume and TC_A(X) is the weekly cost for Plant A. Plant B's weekly production costs are given by
TC_B(Y) = Y² + 8Y + 10000
where Y is the weekly production volume and TC_B(Y) is the weekly cost for Plant B. The manufacturer would like to produce 50 dishwashers per week at the lowest possible cost. a. Formulate a mathematical model that can be used to determine the optimal number of dishwashers to produce each week at each facility. b. Solve the optimization model to determine the optimal number of dishwashers to produce at each facility.

Correct Answer:

Verified

a. If X is the weekly production volume ...

View Answer

Unlock this answer now
Get Access to more Verified Answers free of charge

View Full Answer For Free