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.

Answer 1

Answer:

40 air conditioner and 60 fans yield a 1,900 dollar profit

Explanation:

$Maximize: 26x_1+15x_2\\ Subject to:\\3x_1+ 2x_2 =240\\2x_1+x_2 =120$

We apply this constrain on excel solver tool.

                     Wiring  Drilling    Profit per unit   Total Profit

AC  40 units 120  80            25                  1000

Fan 60 units 120  60            15                   900

  240        140  1900                 1,900