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 $9/unit of Product A and a profit of $10/unit of Product B. To manufacture 1 unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture 1 unit of Product B requires 9 min on Machine I and 4 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? Product A units Product B units What is the largest profit the company can realize? $ Is there any time left unused on the machines? (If so, give the number of minutes remaining. If not, enter 0.) Machine I min Machine II min

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 $9/unit of Product A and a profit of $10/unit of Product B. To manufacture 1 unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture 1 unit of Product B requires 9 min on Machine I and 4 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? Product A units Product B units What is the largest profit the company can realize? $ Is there any time left unused on the machines? (If so, give the number of minutes remaining. If not, enter 0.) Machine I min Machine II min

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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