A factory manufactures chairs and tables, each requiring the use of three operations: Cutting, Assembly,...
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A factory manufactures chairs and tables, each requiring the use of three operations: Cutting, Assembly, and Finishing. The first operation can be used at most 42 hours; the second at most 42 hours; and the third at most 26 hours. A chair requires 1 hour of cutting, 2 hours of assembly, and 1 hour of finishing; a table needs 2 hours of cutting, 1 hour of assembly, and 1 hour of finishing. If the profit is $24 per unit for a chair and $34 for a table, how many units of each should be manufactured to maximize profit? To maximize profit, the factory should manufacture chairs and tables. The maximum profit would then be
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