Question: Problem 2. Consider an LP model which is to maximize Z = 3x + 3y subject to 6x + 4y 24, 10x + 20y 80,

Problem 2.

Consider an LP model which is to maximize Z = 3x + 3y subject to 6x + 4y 24, 10x + 20y 80, and x, y 0.

(a)

Solve this problem by using graphical methods.

(b)

Explain the meaning of the range of optimality and find the range of optimality for each of the objective function coefficients.

(c)

Find the shadow price and the range of feasibility for the RHS of each constraint. Explain how you find them.

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