A manufacturer of pebbles for patios produces two diferent kinds:coarse x and fine y the coarse require 2 hours of crushing, 5 hours of sifting and 8 hours of drying.the fine pebbles require 6 hours of crushing, 3 hours of drying.the profit margin for coarse and fine pebbles are Ghc 40 and Ghc50 respectively.the manufacturer has available 36 hours for crushing, 30 hours for sifting and 40 hours for drying.A.reduce the information to the equations and inequalities necessary to determine the output mix that will maximize profit. B. Draw a graph of these equations and inequalities and hence find the output mix that will maximize profit. C.determine the maximum profit.