Grand Canyon ECN601 Module 6 problems

Problem 7-14
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 problem to find the best combination of air conditioner and fans
that yields the highest profit. Use the corner point graphical approach.

Problem 7-15
Electrocomp’s management realizes that it
forgot to include two critical constraints. In particular, management decides
that there should be a minimum number of air conditioners produced in order to
fulfill a contract. Also, due to an oversupply of fans in the preceding period,
a limit should be placed on the total number of fans produced.
(a) If
Electrocomp decides that at least 20 air conditioners should be produced but no
more than 80 fans should be produced, what would be the optimal solution? How
much slack is there for each of the four constraints?
(b) If
Electrocomp decides that at least 30 air conditioners should be produced but no
more than 50 fans should be produced, what would be the optimal solution? How
much slack is there for each of the four constraints at the optimal solution?
Problem 7-18

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?

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