Question: Consider the following model: maximize z = 4x1 + x2 subject to 3x1 + x2 = 3 (1) 4x1 + 3x2 6 (2) x1 +2x2

Consider the following model:

maximize z = 4x1 + x2

subject to 3x1 + x2 = 3 (1)

4x1 + 3x2 6 (2)

x1 +2x2 3 (3)

x1, x2 0

a) Solve this model graphically to find the optimal solution (or optimal solutions if more than one exist) and report the optimal objective function value.

b) Show by how much each of the coefficients in the objective function can change before the optimal solution changes using manual computations.

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