A Concise Intro To Logic
12th Edition
ISBN: 9781305147775
Author: Hurley
Publisher: Cengage
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Heller Manufacturing has two production facilities that manufacture baseball gloves. Production costs at the two facilities differ because of varying labor rates, local property taxes, type of equipment, capacity, and so on. The Dayton plant has weekly costs that can be expressed as a function of the number of gloves produced
TCD(X) = X2 − X + 4
where X is the weekly production volume in thousands of units and
TCD(X)
is the cost in thousands of dollars. The Hamilton plant's weekly production costs are given by
TCH(Y) = Y2 + 2Y + 3
where Y is the weekly production volume in thousands of units and
TCH(Y)
is the cost in thousands of dollars. Heller Manufacturing would like to produce 9,000 gloves per week at the lowest possible cost.
(a)
Formulate a mathematical model that can be used to determine the optimal number of gloves to produce each week at each facility.
min
s.t.
= 9
X, Y ≥ 0
(b)
Use Excel Solver or LINGO to find the…
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