A manufacturer of medicines is preparing a production plan of medicines M1 and M2. There are sufficient raw materials available to make 20000 bottles of M1 and 40000 bottles of M2, 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 M1, it takes 1 hour to prepare enough material to fill 1000 bottles of M2 and there are 66 hours available for this operation. The profit is Rs 8 per bottle for M1 and Rs 7 per bottle for M2. How should the manufacturer schedule his/her production in order to maximise profit?

A manufacturer of medicines is preparing a production plan of medicines M1 and M2. There are sufficient raw materials available to make 20000 bottles of M1 and 40000 bottles of M2, 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 M1, it takes 1 hour to prepare enough material to fill 1000 bottles of M2 and there are 66 hours available for this operation. The profit is Rs 8 per bottle for M1 and Rs 7 per bottle for M2. How should the manufacturer schedule his/her production in order to maximise profit?