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Douglas Silber
714
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
air conditioner takes 3 hours of wiring and 2 hours of drilling. Each fan 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 fan
assembled may be sold for a $15 profit. Formulate and solve this LP production mix situation to find the
best combination of air conditioners and fans that yields the highest profit. Use the corner point graphical
approach.
(A)
(F)
Department
Air Conditioner
Large Fan
Available Hours This
Week
Wiring
3
2
240
Drilling
2
1
140
Profit per Unit
$25
$15
Objective is:
To Maximize Profit
Constraints are:
1.
The hours of wiring time used cannot exceed 240 hours per week.
2.
The hours of drilling time used cannot exceed 140 hours per week.
A = number of Air Conditioners to be produced per week
F = number of Fans to be produced per week.
The objective is to maximize profit = $25A + $15F
Subject to:
3A + 2F ≤ 240 (wiring constraint)
2A + 1F ≤ 100 (drilling constraint)
Douglas Silber
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The dean of the Western College of Business must plan the school’s course offerings for the fall
semester. Student demands make it necessary to offer at least 30 undergraduate and 20 graduate courses
in the term. Faculty contracts also dictate that at least 60 courses be offered in total. Each undergraduate
course taught costs the college an average of $2,500 in faculty wages, and each graduate course costs
$3,000. How many undergraduate and graduate courses should be taught in the fall so that total faculty
salaries are kept to a minimum?
X
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 Spring '07
 Bloom

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