A company manufactures two products, A and B, and each of these products must be processed on two different machines. Product A requires 3 min of work time per unit on machine 1 and 2 min of work time per unit on machine 2. Product B requires 1 min of work time per unit on machine 1 and 5 min of work time per unit on machine 2. Each day 200 min are available on machine 1 and 300 min are available on machine2. To satisfy certain customers, the company must produce at least 20 units per day of product A and at least 10 units per day of product B. If the profit of each unit of product A is Php50 and the profit of each unit of product B is Php60, how many units of each product should be produced daily in order to maximize the company's profits?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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A company manufactures two products, A and B, and each of these products must be processed on two different machines. Product A requires 3 min of work time per unit on machine 1 and 2 min of work time per unit on machine 2. Product B requires 1 min of work time per unit on machine 1 and 5 min of work time per unit on machine 2. Each day 200 min are available on machine 1 and 300 min are available on machine2. To satisfy certain customers, the company must produce at least 20 units per day of product A and at least 10 units per day of product B. If the profit of each unit of product A is Php50 and the profit of each unit of product B is Php60, how many units of each product should be produced daily in order to maximize the company's profits?

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