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A manufacturer produces three products, A, B, and C. The profits for each unit of...

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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, S2, 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 8000 units of all three products is to be produced and sold, and a total profit of $12,000 is to be realized. If total cost is to be $54,000, how many units of each of the products should be produced next year?

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