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 $18,000 per year, and the costs of producing each unit of A, B, and C are $4, $5, an $7, respectively. Next year, a total of 11,000 units of all three products is to be produced and sold, and a total profit of $23,000 is to be realized. If total cost is to be $79,000, how many units of each of the products should be produce next year? units of product A, units of product B, and units of product C should be produced.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Matrices And Determinants
Section7.2: Operations With Matrices
Problem 72E: Profit: At a local store, the numbers of gallons of skim milk, 2% milk, and whole milk sold over the...
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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 $18,000 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 11,000 units of all three products is to be produced and sold, and a total profit of $23,000 is to be realized. If total cost is to be $79,000, 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: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 $18,000 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 11,000 units of all three products is to be produced and sold, and a total profit of $23,000 is to be realized. If total cost is to be $79,000, 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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