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Linear Programming Model

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A Company produces three products, A, B and C and can sell these products in unlimited quantities at the following unit prices: A, $10, B$56 and C, $100. Producing a unit of A requires 1 hour of labor; a unit of B, 2 hours of labor plus 2 units of A; and a unit of C requires 3 hours of labor and 1 unit of B. A total of 400 labor hours are available. 1) Formulate and solve an LP to maximize the company's revenues. 2) Reformulate and solve the problem if, after the first 50 units, the company can only sell B's at the reduced price of $46.

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