Zack Corporation manufactures a wide range of water pumps . The production process involves he use of eight -inch wide rolls of bronze to stamp out the impeller blanks . One blank is needed for each pump . The firm I has five dies that can be used for stamping . The production characteristics of each die are reported in the following table Die 1 Die 2 Die 3 Die 4 Die 5 Scrap 20 40 12 IF 3 0 4 - in 580 200 140 6 - in 200 140 8 - in 140 100 For example , die # 1 produces 140 8 - in impellers and 2 pounds of scrap per 100 feet of bronze The firm currently has orders for 1000 four inch pumps , 500 six -inch pumps and 400 eight inch pumps A . Determine the optimal production mix based on minimizing the total amount of bronze used B . Determine the optimal production mix based on minimizing the amount of scrap produced C . Compare the results obtained in parts a and b