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. A manufacturer of a line of patent medicines is preparing a productionplan on medicines A ลnd B. There are sufficient ingredients available tomake 20000 bottles of A and 40000 bottles of B but there are only 45000bottles into which either of the medicines can be put. Furthermore, it takes3 hours to prepare enough material to fill 1000 bottles of A and it takes 1hour to prepare enough material to fill 1000 bottles of B, and there are 66hours available for this operation. "The profit is 8 per bottle for and 7per bottle for BHow should the manufacturer schedule the production in order tomaximize hs profit? Also, find the maximum profit.

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