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 $25. Each heater assembled may be sold for a $15 profit. The aim of the objective function for Attaran Corporation should be to minimize or maximize objective value. Decision variables: X = number of air conditioners to be produced Y = number of heaters to be produced Objective function: Z=__X__Y Subject to: 3X+2y____ 240 (C1) 2x+1Y ____ 140 (Cz) Y ≥0 On the graph on right, constraints C and C2 have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. The optimum solution is: X=___ (round your response to two decimal places). Y =___ (round your response to two decimal places. Optimal solution value Z =___ (round your response to two decimal places).
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 $25. Each heater assembled may be sold for a $15 profit.
The aim of the objective function for Attaran Corporation should be to minimize or maximize
objective value.
Decision variables:
X = number of air conditioners to be produced
Y = number of heaters to be produced
Objective function:
Z=__X__Y
Subject to:
3X+2y____ 240 (C1)
2x+1Y ____ 140 (Cz)
- Y ≥0
On the graph on right, constraints C and C2 have been drawn.
Using the point drawing tool, plot all the corner points for the feasible area.
The optimum solution is:
X=___ (round your response to two decimal places).
Y =___ (round your response to two decimal places.
Optimal solution value Z =___ (round your response to two decimal places).
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Optimal solution value Z =
(round your response to two decimal places).
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