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Jen Sites 7-14 The Electrocomp Corporation manufactures tow 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. Jen Sites

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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. Jen Sites

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**Department Air Conditioners Fans Wiring 3 hours 2 hours 240 per week**

Drilling 1 hour 140 per week Profit per unit $25 per unit $15 per unit Jen Sites

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**Maximazie profit =$25A + $15F **

Hours of wiring time used < 240 hrs per week Hours of drilling time used < 140 hrs per week A= Air contitioner F = Fan Jen Sites

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**Hours required to produce one unit Max profit (z) = 25A + 15F **

Subject to: 3A +2F < 240 (wiring) 2A + 1F < 140 (drilling) A > 0 F > 0 Jen Sites

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3A + 2F = 240 A = F = 120 (0, 120) F = A = 80 (80,0) 2A + 1F =140 A = F = 140 (0,140) F = A = 70 (70,0) Jen Sites

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**Air conditioners Fans RHS Maximize 25 15 Wiring 3 2 <= 240 5 **

Drilling 2 1 <= 140 5 Solution-> $1,900. Jen Sites

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Jen Sites

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1 Additional examples LP Let : X 1, X 2, X 3, ………, X n = decision variables Z = Objective function or linear function Requirement: Maximization of the.

1 Additional examples LP Let : X 1, X 2, X 3, ………, X n = decision variables Z = Objective function or linear function Requirement: Maximization of the.

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