A company manufactures car and truck frames at plants in Milwaukee and Racine. The Milwaukee plant has a daily operating budget of $65,000 and can produce at most 60 frames daily in any combination. It costs $150 to manufacture a car frame and $160 to manufacture a truck frame at the Milwaukee plant. The Racine plant has a daily operating budget of $50,000, and can produce a maximum combined total of 100 frames daily. It costs $145 to manufacture a car frame and $170 to manufacture a truck frame at the Racine plant. Based on past demand, the company wants to limit production to a maximum of 75 car frames and 80 tuck frames per day. If the company realizes a profit of $50 on each car frame and $70 on each truck frame, how many frames of each type should be produced at each plant to maximize the daily profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...
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7) A company manufactures car and truck frames at plants in Milwaukee and Racine. The Milwaukee plant has a daily
operating budget of $65, 000 and can produce at most 60 frames daily in any combination. It costs $150 to manufacture
a car frame and $160 to manufacture a truck frame at the Milwaukee plant. The Racine plant has a daily operating
budget of $50, 000, and can produce a maximum combined total of 100 frames daily. It costs $145 to manufacture a
car frame and $170 to manufacture a truck frame at the Racine plant. Based on past demand, the company wants to
limit production to a maximum of 75 car frames and 80 tuck frames per day. If the company realizes a profit of $50
on each car frame and $70 on each truck frame, how many frames of each type should be produced at each plant to
maximize the daily profit?
Transcribed Image Text:7) A company manufactures car and truck frames at plants in Milwaukee and Racine. The Milwaukee plant has a daily operating budget of $65, 000 and can produce at most 60 frames daily in any combination. It costs $150 to manufacture a car frame and $160 to manufacture a truck frame at the Milwaukee plant. The Racine plant has a daily operating budget of $50, 000, and can produce a maximum combined total of 100 frames daily. It costs $145 to manufacture a car frame and $170 to manufacture a truck frame at the Racine plant. Based on past demand, the company wants to limit production to a maximum of 75 car frames and 80 tuck frames per day. If the company realizes a profit of $50 on each car frame and $70 on each truck frame, how many frames of each type should be produced at each plant to maximize the daily profit?
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