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(Manufacturing problem): A manufacturer ...

(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 each requiring the sue of all the three machines.
The number of hours required for producing 1 unit of each of M and N on the three machies are given in the follownig table:

She makes a profit of Rs. 600 and Rs. 400 on items M and N respectively. How many of each item should be produce so as to maximise her profit assuming that she can sell all the items that she produced? What will be the maximum profit?

Text Solution

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The correct Answer is:
Rs. 4000
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