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A factory manufactures chairs, tables and bookcases each requiring the use of three o utting, Assembly, and Finishing. The first operation can be used at most 600 hours; t most 500 hours; and the third at most 300 hours. A chair requires 1 hour of cutting, ssembly, and 1 hour of finishing; a table needs 1 hour of cutting, 2 hours of assembly, a f finishing; and a bookcase requires 3 hours of cutting, 1 hour of assembly, and 1 hour o the profit is $20 per unit for a chair, $30 for a table, and $25 for a bookcase, how mar

A factory manufactures chairs, tables and bookcases each requiring the use of three o utting, Assembly, and Finishing. The first operation can be used at most 600 hours; t most 500 hours; and the third at most 300 hours. A chair requires 1 hour of cutting, ssembly, and 1 hour of finishing; a table needs 1 hour of cutting, 2 hours of assembly, a f finishing; and a bookcase requires 3 hours of cutting, 1 hour of assembly, and 1 hour o the profit is $20 per unit for a chair, $30 for a table, and $25 for a bookcase, how mar

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.2: Systems Of Linear Equations In Two Variables
Problem 41E
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A factory manufactures chairs, tables and bookcases each requiring the use of three operations: Cutting, Assembly, and Finishing. The first operation can be used at most 600 hours; the second at most 500 hours; and the third at most 300 hours. A chair requires 1 hour of cutting, 1 hour of assembly, and 1 hour of finishing; a table needs 1 hour of cutting, 2 hours of assembly, and 1 hour of finishing; and a bookcase requires 3 hours of cutting, 1 hour of assembly, and 1 hour of finishing. If the profit is $20 per unit for a chair, $30 for a table, and $25 for a bookcase, how many units of each should be manufactured to maximize profit?
Transcribed Image Text:A factory manufactures chairs, tables and bookcases each requiring the use of three operations: Cutting, Assembly, and Finishing. The first operation can be used at most 600 hours; the second at most 500 hours; and the third at most 300 hours. A chair requires 1 hour of cutting, 1 hour of assembly, and 1 hour of finishing; a table needs 1 hour of cutting, 2 hours of assembly, and 1 hour of finishing; and a bookcase requires 3 hours of cutting, 1 hour of assembly, and 1 hour of finishing. If the profit is $20 per unit for a chair, $30 for a table, and $25 for a bookcase, how many units of each should be manufactured to maximize profit?
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