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 40 hours; the second at most 46 hours; and the third at most 25 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 $23 per unit for a chair and $30 for a table, how many units of each should be manufactured to maximize profit? tables. The maximum profit would To maximize profit, the factory should manufacture I chairs and then be

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
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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 40 hours; the second at most 46 hours; and the third
at most 25 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 $23 per unit for a chair
and $30 for a table, how many units of each should be manufactured to maximize profit?
tables. The maximum profit would
To maximize profit, the factory should manufacture I chairs and
then be
Transcribed Image Text: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 40 hours; the second at most 46 hours; and the third at most 25 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 $23 per unit for a chair and $30 for a table, how many units of each should be manufactured to maximize profit? tables. The maximum profit would To maximize profit, the factory should manufacture I chairs and then be
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