A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $5/unit of product A and $8/unit of product E To manufacture a unit of product A requires 11 min on machine I and 7 min on machine II. To manufacture a unit of product B requires 19 min on machine I and 11 min on machine II. There are 5 hr of machine time available on machine I and 3 hr of machine time available on machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? model A X units model B X units What is the optimal profit? $ 1

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
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A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $5/unit of product A and $8/unit of product B.
To manufacture a unit of product A requires 11 min on machine I and 7 min on machine II. To manufacture a unit of product B requires 19 min on machine I and 11 min on machine II.
There are 5 hr of machine time available on machine I and 3 hr of machine time available on machine II in each work shift. How many units of each product should be produced in each
shift to maximize the company's profit?
model A
X units
model B
X units
What is the optimal profit?
$ 1
Transcribed Image Text:A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $5/unit of product A and $8/unit of product B. To manufacture a unit of product A requires 11 min on machine I and 7 min on machine II. To manufacture a unit of product B requires 19 min on machine I and 11 min on machine II. There are 5 hr of machine time available on machine I and 3 hr of machine time available on machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? model A X units model B X units What is the optimal profit? $ 1
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