- A Farmer raises wheat, corn and sugar beets on his 500 acres of land. He wants to decide how much land to devote to each crop in order to maximize the profit. The farmer knows that at least 200T of wheat and 240T of corn are needed for cattle feed. These amounts can be raised on the farm or bought from a wholesaler. Any production in excess of the feeding requirement would be sold. Another profitable crop is sugar beet, which he expects to sell at \$36/T; however, a quota is imposed on sugar beet production. Any amount in excess of the quota can be sold only at $10/T. the farmer's quota for next year is 6000T. The required amounts of wheat and corn, along with other problem information are given in the following table: Formulate the problem as a linear programming model