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Product Unit profit ($/ battery) Maximum demand Lead requirements (batteries/day) (lbs/ battery) Heavy-duty 10 800 Standard 9 700 Economy 8 350 25 15 10 Assembly Maximum lead Plant location capacity (batteries/day) production (lbs/day) 1 500 15,000 2 850 8,000 3 325 3,200

Product Unit profit ($/ battery) Maximum demand Lead requirements (batteries/day) (lbs/ battery) Heavy-duty 10 800 Standard 9 700 Economy 8 350 25 15 10 Assembly Maximum lead Plant location capacity (batteries/day) production (lbs/day) 1 500 15,000 2 850 8,000 3 325 3,200

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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The company XYZ produces batteries. The batteries are manufactured in different plants (Plant 1, Plant 2 and Plant 3). Also, the batteries are produced in different types (economy, standard, heavy-duty). The unit net profits, maximum daily demand, and lead requirements for these products are in the table below. The maximum daily assembly capacity, for any mix of batteries is given below.  The maximum lead production per day, in pounds, is below too.

A. Formulate a Linear Programming that allocates the production of the three grades in the three plants in a manner that maximizes profit. (Do not resolve, only formulate the linear programming with its components).

 

 

Product Unit profit ($/ battery) Maximum demand Lead requirements (batteries/day) (lbs/ battery) Heavy-duty 10 800 Standard 9 700 Economy 8 350 25 15 10 Assembly Maximum lead Plant location capacity (batteries/day) production (lbs/day) 1 500 15,000 2 850 8,000 3 325 3,200
Transcribed Image Text:Product Unit profit ($/ battery) Maximum demand Lead requirements (batteries/day) (lbs/ battery) Heavy-duty 10 800 Standard 9 700 Economy 8 350 25 15 10 Assembly Maximum lead Plant location capacity (batteries/day) production (lbs/day) 1 500 15,000 2 850 8,000 3 325 3,200
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