Problem 1. (10 marks in total) A farmer has 200 acres of land and 18,000 hours of labor available. He/she wants to determine the numbers of acres to allocate to each of the following crops: corn, wheat, peas, tomatoes and sprouts. The farmer must produce at least 250 tons of corn to feed their cattle, and at least 80 tons of wheat that they committed to delivering under a pre- defined contract. The number of tons per acre and the number of hours of labor per acre required to grow each crop are as follows: Corn Wheat Peas Tomatoes Sprouts Tons/acre: 10 4 4 8 6 Hours of labor/acre: 120 150 100 80 120 Given that the corn, the peas, the tomatoes and the sprouts produced may sell at $120, $150, $60, $80, and $55 per ton, respectively, you are asked to formulate a linear programming model that maximizes the total sales revenue