The Attaran Corporation manufactures two electrical products: portable air conditioners and portable heaters. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each heater must go through 2 hours of wiring and 1 hour of  drilling. During the next production​ period, 240 hours of wiring time are available and up to 140 hours of drilling time may be used. Each air conditioner sold yields a profit of ​$20. Each heater assembled may be sold for a ​$18 profit. The aim of the objective function for Attaran Corporation should be to Maximize the objective value. Decision​ variables:                                                X​ = number of air conditioners to be produced                                                Y​ = number of heaters to be produced Objective​ function:   Z =

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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The Attaran Corporation manufactures two electrical products: portable air conditioners and portable heaters. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each air conditioner takes 3 hours of wiring and 2 hours of drilling. Each heater must go through 2 hours of wiring and 1 hour of  drilling. During the next production​ period, 240 hours of wiring time are available and up to 140 hours of drilling time may be used. Each air conditioner sold yields a profit of ​$20. Each heater assembled may be sold for a ​$18 profit. The aim of the objective function for Attaran Corporation should be to Maximize the objective value.

Decision​ variables:

                                               X​ = number of air conditioners to be produced

                                               Y​ = number of heaters to be produced

Objective​ function:

 

Z =

 

 

 

   
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