3) (15 pts) Consider the following LP formulation: max z = x1 + 2x2 s.t. −...

3) (15 pts) Consider the following LP formulation: max z = x1 + 2x2 s.t. − x1 + x2 ≤ 2 x2 ≤ 3 kx1 + x2 ≤ 2k + 3 x1, x2 ≥ 0 The value of the parameter k ≥ 0 has not been determined yet.

The solution currently being used is x1 = 2, x2 = 3. Use graphical analysis to determine the values of k such that this solution is actually optimal.

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