A company uses raw material to produce two products. For $150, a unit of raw material can be purchased and processed into four units of product 1 and two units of product 2. If x1 units of product 1 are produced, they can be sold at 250 - x1 dollars per unit. If x2 units of product 2 are produced, they can be sold at 140 - 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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