A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 900, 1080, and 840, respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows. (For example, to make 1 unit of product A requires 2 hours of work from Dept. I, 3 hours of work from Dept. II, and 2 hours of work from Dept. III.) Product A Product B Product C Dept. I Dept. II Dept. III Profit 2 1 2 1 2 1 $96 $64 $80 How many units of each product should the company produce in order to maximize its profit? units Product A Product B units Product C units What is the largest profit the company can realize? Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.) labor in Dept. I labor-hours labor-hours labor in Dept. II labor in Dept. III labor-hours

A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 900, 1080, and 840, respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows. (For example, to make 1 unit of product A requires 2 hours of work from Dept. I, 3 hours of work from Dept. II, and 2 hours of work from Dept. III.) Product A Product B Product C Dept. I Dept. II Dept. III Profit 2 1 2 1 2 1 $96 $64 $80 How many units of each product should the company produce in order to maximize its profit? units Product A Product B units Product C units What is the largest profit the company can realize? Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.) labor in Dept. I labor-hours labor-hours labor in Dept. II labor in Dept. III labor-hours

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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