A Connecticut farmer grows corn and apples on his farm. He ships both items in the same-sized box and his truck can carry at most 500 boxes per trip. Past records indicate that each shipment should contain at least 100 boxes of each product. Also, the number of boxes of apples should not exceed the number of boxes of corn. If this farmer receives a profit of $6 for each box of apples and $4 for each box of corn, how many boxes of each should he load on his truck to maximize his profit?


2. Write four inequalities that constrain the problem.