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Q. An automobile parts manufacturer produces two types of automobile parts used for making four wheelers....

Q. An automobile parts manufacturer produces two types of automobile parts used for making four wheelers. Type 1 requires ½ hour of labor and 1 hour of machine time. Type 2 requires 1 hour of labor time and 2 hours of machine time. There are 500 hours available per week of labor and 700 machine hours available. Type 1 has a profit margin of $ 35 a unit and Type 2 have a profit margin of $ 50 a unit. The automobile parts manufacturer must choose the quantity of Type 1 and Type 2 machinery parts, which maximizes profit. Formulate this as a linear programming problem by defining the objective function and the constraints.

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