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A manufacturer produces three products, A, B, C. The profits for each unit of A, B, and C sold are $1, $2, and $3, respectively. Fixed costs are $17,000 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 $78,000, how many units of each of the products should be produced next year?

A manufacturer produces three products, A, B, C. The profits for each unit of A, B, and C sold are $1, $2, and $3, respectively. Fixed costs are $17,000 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 $78,000, how many units of each of the products should be produced next year?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 56E
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A manufacturer produces three products, A, B, C. The profits for each unit of A, B, and C sold are $1, $2, and $3, respectively. Fixed costs are $17,000 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 $78,000, how many units of each of the products should be produced next year?
Transcribed Image Text:A manufacturer produces three products, A, B, C. The profits for each unit of A, B, and C sold are $1, $2, and $3, respectively. Fixed costs are $17,000 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 $78,000, how many units of each of the products should be produced next year?
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