Systems of linear inequalities and Linear programming 12 A factory manufactures two kinds of ice skates racing skates and figure skates The racing skates require 8 work hours in the fabrication department whereas the figure skates require 4 work hours there The racing skates and the figure skates each require 2 work hours in the finishing department The fabricating department has available at most 224 work hours per day and the finishing department has no more than 72 work hours per day available The factory must also produce at least 16 racing skates If the profit on each racing skate is 15 and the profit on each figure skate is 12 how many of each should be manufactured each day to maximize profit Assume that all skates made are sold how the feasible region and the corner points