Problem B.7 The Electrocomp Corporation manufactures two electrical products: ai

Question

Problem B.7

The Electrocomp Corporation manufactures two electrical products: air conditioners and large fans. The
assembly processfor 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 situatio, and find
the best combination of air conditioners and fans that yields the highest profit.

Explanation / Answer

Let X1 = the number of air conditioners scheduled to be produced X2 = the number of fans scheduled to be produced Maximize 25X1 + 15X2 (maximize profit) Subject to: 3X1 + 2X2 ? 240 (wiring capacity constraint) 2X1 + X2 ? 140 (drilling capacity constraint) X1, X2 ? 0 (non-negativity constraints) Optimal Solution: X1 = 40 X2 = 60 Profit = $1,900

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