A manufacturer of patent medicines is preparing a production plan on medicines, A and B. There are sufficient raw materials available to make 20000 bottles of A and 40000 bottles of B, but there are only 45000 bottles into which either of the medicines can be put. Further, it takes 3 hours to prepare enough material to fill 1000 bottles of A, it takes 1 hour to prepare enough material to fill 1000 bottles of B and there are 66 hours available for this operation. The profit is Rs 8 per bottle for A and Rs 7 per bottle for B. How should the manufacturer schedule his production in order to maximize his profit?

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.

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