A farmer plans to cultivate rice and wheat in his 200 acres of land. To get a decent profit, he has to use at least 150 acres of land. Per the environmental agency’s recommendation, for each acre of rice, there must be at least 1.3 acres of wheat. But he cannot plant more than 100 acres of rice and 150 acres of wheat. An acre of rice would get him a profit of R1.3 lakhs and wheat, R1 lakh. The farmer wants to know how many acres of land he needs to cultivate rice and wheat to maximize his profit.

a. Formulate a linear programming model.

b. Solve the model graphically.