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A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine II per month are 4,270 and 7,560. The time requirements and profit per unit for each product are listed below. A B с Machine I 3 5 8 Machine II 8 7 13 Profit $10 $12 $14 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Set up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P: = subject to: ≤ 4,270 ≤ 7,560

A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine II per month are 4,270 and 7,560. The time requirements and profit per unit for each product are listed below. A B с Machine I 3 5 8 Machine II 8 7 13 Profit $10 $12 $14 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Set up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P: = subject to: ≤ 4,270 ≤ 7,560

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section5.2: Systems Of Linear Equations In Several Variables
Problem 46E
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A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine II per month are 4,270 and 7,560. The time requirements and profit per unit for each product are listed below. A Machine I 3 Machine II 8 Profit B C 5 8 7 13 $10 $12 $14 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Set up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: ≤ 4,270 ≤ 7,560
Transcribed Image Text:A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine II per month are 4,270 and 7,560. The time requirements and profit per unit for each product are listed below. A Machine I 3 Machine II 8 Profit B C 5 8 7 13 $10 $12 $14 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Set up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: ≤ 4,270 ≤ 7,560
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