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 $21,000 is to be realized. If total cost is to be $73,000, how many units of each of the products should be produced next year?
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 $21,000 is to be realized. If total cost is to be $73,000, how many units of each of the products should be produced next year?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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 $21,000 is to be realized. If total cost is to be $73,000,
how many units of each of the products should be produced next year?
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