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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 $1 the costs of producing each unit of A, B, and C are $4, $5, and $7, respectively. Next year, a total of 12,000 units of all three products is to be produce total profit of $25,000 is to be realized. If total cost is to be $83,000, 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 $1 the costs of producing each unit of A, B, and C are $4, $5, and $7, respectively. Next year, a total of 12,000 units of all three products is to be produce total profit of $25,000 is to be realized. If total cost is to be $83,000, 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 $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 12,000 units of all three products is to be produced and sold, and a total profit of $25,000 is to be realized. If total cost is to be $83,000, 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 $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 12,000 units of all three products is to be produced and sold, and a total profit of $25,000 is to be realized. If total cost is to be $83,000, 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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