Turn the below information into a linear programming problem (Objective and contraints).Type your answer and show your work.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?

Question
Asked Sep 25, 2019
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Turn the below information into a linear programming problem (Objective and contraints).

Type your answer and show your work.

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?

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Expert Answer

Step 1

The company manufactures two products A and B on two machines where profit $3 on each unit of product A and profit $4 on each unit of product B. Form the objective function as,

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P 3x + 4y

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Step 2

To manufacture a unit of product A requires 6 minutes on machines I and to manufacture a unit of product B requires 9 minutes on machines I and the machine time is 300 minutes available.

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6x 9y300

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Step 3

To manufacture a unit of product A requires 5 minutes on machines II and to manufacture a unit of ...

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5x4y180

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