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A manufacturer produces three products, A, B, and C. The profits for each unit of A, B, and C sold are $1, $2, and $3, respectively. Fixed costs are $19,000 per year, and the costs of producing each unit of A, B, and C are $4, $5, and $7, respectively. Next year, a total of 10,000 units of all three products is to be produced and sold, and a total profit of $17,000 is to be realized. If total cost is to be $68,000, how many units of each of the products should be produced next year? ☐ units of product A. ☐ units of product B, and ☐ units of product C should be produced.

A manufacturer produces three products, A, B, and C. The profits for each unit of A, B, and C sold are $1, $2, and $3, respectively. Fixed costs are $19,000 per year, and the costs of producing each unit of A, B, and C are $4, $5, and $7, respectively. Next year, a total of 10,000 units of all three products is to be produced and sold, and a total profit of $17,000 is to be realized. If total cost is to be $68,000, how many units of each of the products should be produced next year? ☐ units of product A. ☐ units of product B, and ☐ units of product C should be 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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K A manufacturer produces three products, A, B, and C. The profits for each unit of A, B, and C sold are $1, $2, and $3, respectively. Fixed costs are $19,000 per year, and the costs of producing each unit of A, B, and C are $4, $5, and $7, respectively. Next year, a total of 10,000 units of all three products is to be produced and sold, and a total profit of $17,000 is to be realized. If total cost is to be $68,000, how many units of each of the products should be produced next year? units of product A, units of product B, and units of product C should be produced.
Transcribed Image Text:K A manufacturer produces three products, A, B, and C. The profits for each unit of A, B, and C sold are $1, $2, and $3, respectively. Fixed costs are $19,000 per year, and the costs of producing each unit of A, B, and C are $4, $5, and $7, respectively. Next year, a total of 10,000 units of all three products is to be produced and sold, and a total profit of $17,000 is to be realized. If total cost is to be $68,000, how many units of each of the products should be produced next year? units of product A, units of product B, and units of product C should be produced.
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