Question

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, and find the best combination of air conditioners and fans that yields the highest profit. graph the constraints, and solve using the corner point approach.

Answer 1

Answer:

The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans.

LP formulation is given below:

Let X and Y be the number of aircons and large fans to be produced in the next production period

Max 25X + 15Y

s.t.

3X+2Y <= 240

2X+1Y <= 140

X, Y >= 0

Solution using graphical approach is following:

Number of Air-conditioners to be produced, X = 40

Number of large fans to be produced, Y = 60

Total profit = $ 1900

thank you!