An appliance manufacturer produces two models of televisions: Colored TV and B&W TV. Both models require fabrication and assembly work; each colored TV uses four hours of fabrication and two hours of assembly; each B&W TV uses two hours of fabrication and two hours of assembly. There are 600 hours fabrication available per week and 480 hours available of assembly. Each colored TV contributes P1200 to profit and each B&W TV contributes P900 to profits. How many-colored TV and B&W TV must the manufacturer produce in order to maximize the profit?

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
Problem 56E
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An appliance manufacturer produces two models of televisions: Colored TV and B&W TV. Both models require fabrication and assembly work; each colored TV uses four hours of fabrication and two hours of assembly; each B&W TV uses two hours of fabrication and two hours of assembly. There are 600 hours fabrication available per week and 480 hours available of assembly. Each colored TV contributes P1200 to profit and each B&W TV contributes P900 to profits. How many-colored TV and B&W TV must the manufacturer produce in order to maximize the profit? 

 

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