A farmer has a field of 70 acres in which he plants potatoes and corn. The seed for potatoes costs $20/acre, the seed for corn costs $60/acre and the farmer has set aside $3000 to spend on seed. The profit per acre of potatoes is $150 and the profit for com is $50 an acre. For the problem above, define the variables, write an objective function using the variables, and write a system of linear inequalities that represent the constraints.
