Question 5[15pts]: Company X can manufacture three types of candy bar. Each candy bar consists of sugar and chocolate. Total of 50oz and 100oz of chocolate are available. After defining xi to be number of Type i candy bars manufactured, Company X should solve the following LP: Maxz=3x1+7x2+5x3(TotalProfitincents)subjecttox1+x2+x350(SugarCapacityConstraint)2x1+3x2+x3100(ChocolateCapacityConstraint)xi0i={1,2,3} After solving the LP, Company X determined the set of optimal basic variables as {x3,x2} and B1=[23212121] i Determine the shadow prices for each constraint and give their logical interpretation. ii How much maximum company X would be willing to pay for 1 unit extra of Sugar. iii How much maximum company X would be willing to pay for 1 unit extra of Chocolate