SOLUTION: 1. The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount

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Question 1088181: 1. The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The assembly process for each is similar in that both require a certain amount of wiring and drilling. Each fan must go through 2 hours of wiring and 1 hour of drilling. Each air conditioner takes 3 hours of wiring and 2 hours 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 and each fan assembled may be sold for a $15 profit. Also management decided that to ensure an adequate supply of air conditioners for a contract, at least 20 air conditioners should be manufactured. Since Electrocomp incurred an oversupply of fans the previous period, management also insist that no more than 80 fans be produced during this production period.
a. Formulate a linear programming model for the maximization of profit.
b. Solve your linear programming model, using corner point graphical approach. Indicate your corner points coordinates on the graph.
Shade your feasible region and determine the best combination of air conditioner and fans that yields the highest profit.

Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
A-number of AC units
F-number of fans units
.
.
Wiring:

Drilling:

Profit:

Minimum AC units:

Maximum fans:

.
.
.
For the graphs A will be x and F will be y.
.
.
.
.
.
.
.
(20,0)
(70,0)
(20,80)
(30,80)
These four vertices define the feasible region.
Check the value of the profit function at these four points to find the maximum value.
I'll do one, you do the rest.
(20,0):

Now do the same for the other vertices to find the most profitable split.