A soft drinks manufacturing company is preparing a production plan on two types A and B of soft drinks. There is sufficinet materail available to make 20000 bottles of drink A and 40000 bottles of drink B but there are only 45000 empty bottles into either hte drinks can be filled. Further, it takes 3 hours to fill 1000 bottles of drink A and one hour to fill 1000 bottles of drink B. there are only 66 hours available for filling. The profit is Rs.2 per bottle for drink A and Rs.1 per bottle of drink B.
Set up this problem as a linear programming problem and find graphically the production scheduled in order to maximize the profit.