Question

Exercise 1. Found 1 JU m b y P 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 this LP production mix situation to find the best combination of air conditioners and fans that yields the highest profit. Use Excel directly to solve the LP problem without using the QM software.

Answer 1

let A=number of air conditions F-number of large fans. llo equation : 3A + 2F = 240 2A +F = 140 P= $25 A + $15B. 0 from so 3A+ 2 Ano-2A)? Ruo 3 A +280 - 4A=240 s A=4o. from eq ④ BA+28=240 3 (40)+2F=240 &f=240-120 2 P= 120 D F = 60 in maximen profit po $250+ $15B. - 25(40) + 15 (66) = $1900