A manufacturer produces three products A, B, and C. The profit for each unit of A, B, and C sold are $2, $3, and $5, respectively. Fixed cost are $50,000 per year, and the variable costs of producing each unit of A, B, and C are $3, $6, and $4, respectively. Next year, a total of 27,550 units of all three products is to be produced and sold, and a total profit of $109,910 is to be realized. If total cost is to be $174,100, how many units of each of the products should be produced next year? (Use the matrix operations to solve).

A manufacturer produces three products A, B, and C. The profit for each unit of A, B, and C sold are $2, $3, and $5, respectively. Fixed cost are $50,000 per year, and the variable costs of producing each unit of A, B, and C are $3, $6, and $4, respectively. Next year, a total of 27,550 units of all three products is to be produced and sold, and a total profit of $109,910 is to be realized. If total cost is to be $174,100, how many units of each of the products should be produced next year? (Use the matrix operations to solve).

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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