ABC company manufactures bamboo toy chairs and chess sets. Each bamboo toy chair yields a profit of $3, and each chess set, $6. A bamboo toy chair requires 5 hours of processing at Machine A and three hours at Machine B, and one hour at Machine C, while a chess set requires seven hours at Machine A, seven hours at Machine B, and one hour at Machine C. Machine A has a maximum of 130 hours of available capacity per day. Machine B has 95 hours, and Machine C has 20 hours. If the company wishes to maximize profit, how many bamboo toy chairs and chess sets should be produced per day?

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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ABC company manufactures bamboo toy chairs and chess sets. Each bamboo toy chair yields a profit of $3, and each chess set, $6. A bamboo toy chair requires 5 hours of processing at Machine A and three hours at Machine B, and one hour at Machine C, while a chess set requires seven hours at Machine A, seven hours at Machine B, and one hour at Machine C. Machine A has a maximum of 130 hours of available capacity per day. Machine B has 95 hours, and Machine C has 20 hours. If the company wishes to maximize profit, how many bamboo toy chairs and chess sets should be produced per day? 

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