Use the method of linear programming to solve the problem. The Appliance Barn has 2,400 cubic feet of storage space for refrigerators. The larger refrigerators come in 60-cubic-foot packing crates, and the smaller ones come in 40-cubic-foot crates. The larger refrigerators can be sold for a $250 profit, while the smaller ones can be sold for a $150 profit.(a) If the manager is required to sell at least 50 refrigerators each month, how many large refrigerators and how many small refrigerators should he order each month to maximize profit?

large refrigerators
small refrigerators

(b) If the manager is required to sell at least 40 refrigerators each month, how many large refrigerators and how many small refrigerators should he order each month to maximize profit?

large refrigerators
small refrigerators

(c) Should the Appliance Barn owner require his manager to sell 40 or 50 refrigerators per month? refrigerators