A chain saw requires 8 hours of assembly and a wood chipper

A chain saw requires 8 hours of assembly and a wood chipper 7 hours. A maximum of 112 hours of assembly time is available. The profit is $190 on a chain saw and $220 on a chipper. How many of each should be assembled for maximum profit? To attain the maximum profit, assemble chain saws and wood chippers.

Solution

a. Profit per hour and ranking Chain saws wood chippers Profit a $ 190 $ 220 Hours of assembly required b 8 7 Profit per hour a/b $        23.75 $ 31.43 Rank II I Chain saws wood chippers b. Maximim time available a 112 112 Profit per hour b $ 24 $ 31 Maximum profit c=a*b $        2,660 $ 3,520 profit per hour d $ 190 $ 220 Number pf units assembled c/d 14 16 So, to atttain the maximum profit, assemble 0 chain saws and 16 wood chippers.