Maximum profit with limited resource

Question

A farmer has 10km2 of land in which he can sow either wheat or barley. The farmer has only 10kg fertilizer and 5kg insecticide. Per square kilometers wheat requires 2kg fertilizer and 2kg insectiside and barley requires 3kg fertilizer and 1kg insectiside. The selling price per square kilimeter for wheat is 14 rupees and for barley is 25 rupees. Considering the above constraints how the farmer should sow so that he can earn maximum profit. i.e in how much land wheat / barley or both should be sowed and what is the profit he will earn

Answer 1

I answered a very similar problem a while ago:

https://www.wyzant.com/resources/answers/113901/how_do_you_work_out_this_problem

Those steps are applicable to any linear programming question like this. Just follow the steps, using your problem's data instead.