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 x1units of product 1 are produced, they can be sold at 250 - x1dollars per unit. If x2units of product 2 are produced, they can be sold at 140 - x2dollars 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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