John's Locomotive Works manufactures a model locomotive. It comes in two versions- -a standard (X1), and a deluxe (X2). The standard version generates $250 per locomotive for the standard version, and $370 per locomotive for the deluxe version. One constraint on John's production is labor hours. He only has 34 hours per week for assembly. The standard version requires 280 minutes each, while the deluxe requires 390 minutes. John's milling machine is also a limitation.
a. Formulate as a linear programming problem.
b. Solve using simplex method.
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