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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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