A cooperative society of farmers has 50 hectares of land to grow two crops A and B.The profit from crops A and B per hectare are Rs. 10500 and Rs. 9000 respectively. A liquid herbicide has to be used for crops A and B at rates 20 litres and 10 litres per hectares respectively, but it cannot be more than 800 litres. How much land should be allocated to each crop so as to maximize the total profit of the society?

Explanation

Let x hectares for crop A and y hectares for crop B be allocated.

We need to maximize profit given by

`Z=10500x+9000y ` subject to


`x+y≤50`


`20x+10y≤800`


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