A company manufactures two products, A and B, on two machines, I and II. The profit is $3 on each unit of product A and $4 on each unit of product B. To manufacture a unit of product A requires 6 minutes on machine I and 5 minutes on machine II. To manufacture a unit of product B requires 9 minutes on machine I and 4 minutes on machine II. There are 300 minutes of machine time available on machine I and 180 minutes of machine time available on machine II in a work shift. How many units of each product should be produced in each shift to maximize the company’s profit?   This should be typed and make sure to show all of your work, answers alone will not be accepted. 2. Give the x and y intercepts for each constraint (inequality).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A company manufactures two products, A and B, on two machines, I and II. The profit is $3 on each unit of product A and $4 on each unit of product B. To manufacture a unit of product A requires 6 minutes on machine I and 5 minutes on machine II. To manufacture a unit of product B requires 9 minutes on machine I and 4 minutes on machine II. There are 300 minutes of machine time available on machine I and 180 minutes of machine time available on machine II in a work shift. How many units of each product should be produced in each shift to maximize the company’s profit?

 

This should be typed and make sure to show all of your work, answers alone will not be accepted.

2. Give the x and y intercepts for each constraint (inequality).

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