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A company sells two different products A and B. the two products are produced in a common production proce is which has a total capacity of 500 hours ofusing man power. It takes 5 hours to produce a unit of A and 3 hours to produce a unit of B. The demand in the market shows that the maximum number of units of a that can be sold is 70 and that of B is 125. Profit on each of unit a is 20 Rs and on B is 125. How many units of A and B should be produced to to maximise the profit.

Text Solution

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5x+3y=500
x`<=`70
y`<=`125
Profit=Z=20x+15y
at B=Z=20*25+15*125=2375.
at C=Z=20*70+15*50=2150
profit at B is greater than profit at C
A=25,B=125.
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