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(Manufacturing problem) A manufacturer has three machines I, II and III installed in his factory. Machines I and II are capable of being operated for at most 12 hours whereas machine III must be operated for atleast 5 hours a day. She produces only two items M and N eachrequiring the use of all the three machines. The number of hoursrequired for producing 1 unit of each of M and N on the three machines are given in the following table : She makes a profit of Rs. 600 and Rs. 400 on items M and N respectively. How many of each should she produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum profit ?

Answer»


ANSWER :The manufacturer has to PRODUCE 4units of each items. The maximum profit of Rs. 4000 will be at (4, 4).


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