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Jen Sites1 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.

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Jen Sites2 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.

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Jen Sites3 DepartmentAir Conditioners Fans Wiring3 hours2 hours240 per week Drilling2 hours1 hour140 per week Profit per unit $25 per unit$15 per unit

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Jen Sites4 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

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Jen Sites5 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

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Jen Sites6 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)

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Jen Sites7 Air conditionersFans RHS Maximize2515 Wiring32<=2405 Drilling21<=1405 Solution->4060$1,900.

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Jen Sites8

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