1. 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 130 hours of drilling time may be used. Each air conditioner sold yields a profit of $15. Each heater assembled may be sold for a $19 profit. 200 160- 120- The aim of the objective function for Attaran Corporation should be to (1) value, the objective 80- Decision variables: X = number of air conditioners to be produced Y= number of heaters to be produced 40- Objective function: Z = 0- Subject to: 60 80 100 120 140 160 180 200 20 40 X 3X +2Y (2) 2X + 1Y (3) X, Y 20 On the graph on right, constraints C, and C, 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). (1) O Minimize O Maximize (2) O (3) O

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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1. 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 130 hours of drilling time may be
used. Each air conditioner sold yields a profit of $15. Each heater assembled may be sold for a $19
profit.
200-
160-
120-
The aim of the objective function for Attaran Corporation should be to (1)
the objective
value.
80-
Decision variables:
X = number of air conditioners to be produced
Y = number of heaters to be produced
40-
Objective function:
Z=
X+
Y
0-
Subject to:
20
40
60
80
100 120 140 160 180 200
3X + 2Y
(2)
2X + 1Y
(3)
X, Y 20
On the graph on right, constraints C, and C, 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).
(1) O Minimize
O Maximize
(2)
AI VI
AI VI
Transcribed Image Text:1. 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 130 hours of drilling time may be used. Each air conditioner sold yields a profit of $15. Each heater assembled may be sold for a $19 profit. 200- 160- 120- The aim of the objective function for Attaran Corporation should be to (1) the objective value. 80- Decision variables: X = number of air conditioners to be produced Y = number of heaters to be produced 40- Objective function: Z= X+ Y 0- Subject to: 20 40 60 80 100 120 140 160 180 200 3X + 2Y (2) 2X + 1Y (3) X, Y 20 On the graph on right, constraints C, and C, 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). (1) O Minimize O Maximize (2) AI VI AI VI
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