A farmer has 1650 acres of Palouse land to plant lentils and peas. Lentils cost $40 per acre and take 20 hours of labor per acre to grow. Peas cost $60 per acre and take 25 hours of labor per acre to grow. If the farmer has $7500 and 3300 labor-hours available and expects to make a profit of $150 per acre for lentils and $200 per acre for peas, how many acres of each crop should be planted? (a) Define two appropriate variables. (b) Write the objective function. (c) Write the constraint inequalities.