A company uses raw material to produce two products. For $175, a unit of raw material can be purchased and processed into 3 units of product 1 and 4 units of product 2. If x1 units of product 1 are produced, they can be sold at 300 − x1 dollars per unit. If x2 units of product 2 are produced, they can be sold at 160 − x2 dollars per unit. (Negative prices are not permitted.) The company can choose the number of units of raw material that are purchased and processed. How can the company maximize its profit?
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