A cooperative society of farmers has 50 hectares of land to grow two crops, X and Y. The profits…

A cooperative society of farmers has 50 hectares of land to grow two crops, X and Y. The profits from crops, X and Y per hectare are estimated as ₹ 10500 and ₹ 9000 respectively. To control weeds, a liquid herbicide has to be used on crops X and Y in the quantity of 20 litres and 10 litres per hectare respectively. Further, the quantity of herbicide to be used on both the crops should not exceed 800 litres to protect the environment. How much land should be allocated to each crop to maximise the total profit of the society? Formulate the above Linear Programming Problem mathematically and then solve it graphically.