A manufacturer of a line of patent medicines is preparing a production plane on medicines A and B. There are sufficient ingredients available to make 20,000 bottles of A and 40, 000 bottles of B but there are only 45, 000 bottles into which either of the medicines can be put. Further more, it takes 3 hours to prepare enough material to fill 100 bottles of A, it takes on hours to prepare enough material to fill 1000 bottles of B and there are 66 hours available for this operation. Te profit is Rs. 8 per bottle for A and Rs. 7 per bottle for B. Formulate this problem as a linear programming problem.