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.
Maximize profit = 25X + 15Y
(Profit)
3X + 2Y < 240 (Wiring Hours)
2X + Y < 140 (Drilling Hours)
X, Y < 0
X = Number of air conditioners to be produced
Y = Number of large fans to be produced
Solve the following LP problem using the corner point graphical method. At the optimal solution, calculate the slack for each constraint:
Maximize profit = 4X + 4Y
3X + 5Y < 150
X – 2Y < 10
5X + 3Y < 150
X, Y < 0
