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 $275 profit, while the smaller ones can be sold for a $175 profit. 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? Show the equations you created and the graph you used to determine this.

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