John’s Locomotive Works manufactures a model locomotive. It comes in two versions: a standard (X1) and a deluxe (X2). The locomotives generate $250 per locomotive for the standard version and $350 per locomotive for the deluxe version. One constraint on John’s production is labor hours. He only has 40 hours per week for assembly. The standard version requires 150 minutes each, while the deluxe requires 200 minutes. John’s milling machine is also a limitation. There are only 20 hours a week available for the milling machine. The standard unit requires 60 minutes, while the deluxe requires 120. Formulate as a linear programming problem, and solve using the corner points solution method.
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