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A manufacturer manufactures two types of tea-cups,A and B.Three machines are needed for manufacturing the tea cups.The time in minutes required for manufacturing each cup on the machines is given below :

Type of cup Times in minutes Machine I Machine II Machine III A 12 18 6 B 6 0 9 Each machine is available for a maximum of six hours per day.If the profit on each cup of type A is Rs 1.50 and that on each cup of type B is Rs. 1.00,find the number of cups of each type that should be manufactured in a day to get maximum profit.

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