Presentation on theme: "Jen Sites1 Jen Sites 7-14 The Electrocomp Corporation manufactures tow electrical products: air conditioners and large fans. The assembly process for each."— Presentation transcript:
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.
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.
Jen Sites3 DepartmentAir Conditioners Fans Wiring3 hours2 hours240 per week Drilling2 hours1 hour140 per week Profit per unit $25 per unit$15 per unit
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
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
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)
Jen Sites7 Air conditionersFans RHS Maximize2515 Wiring32<=2405 Drilling21<=1405 Solution->4060$1,900.