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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 l and Machine Il per month are 6,620 and 7,590. The time requirements and profit per unit for each product are listed below. A Machine I 10 8. Machine II 6 8. 14 Profit $8 $11 $14 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and Crepresenting the number of units of each product that are produced.

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 l and Machine Il per month are 6,620 and 7,590. The time requirements and profit per unit for each product are listed below. A Machine I 10 8. Machine II 6 8. 14 Profit $8 $11 $14 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and Crepresenting the number of units of each product that are produced.

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 6,620 and 7,590. The time requirements and profit per unit for each product are listed below. A B Machine I 6 10 8 Machine II 6 8 14 Profit $8 $11 $14 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting 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:
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 6,620 and 7,590. The time requirements and profit per unit for each product are listed below. A B Machine I 6 10 8 Machine II 6 8 14 Profit $8 $11 $14 How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting 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:
subject to: < 6,620 $ 7,590 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product C
Transcribed Image Text:subject to: < 6,620 $ 7,590 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product C
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