Question: Problem 2. (20pts] (Sensitivity Analysis) Consider the following LP problem and the final tableau obtained by the Sim- plex method in the tableau form max

Problem 2. (20pts] (Sensitivity Analysis)

Problem 2. (20pts] (Sensitivity Analysis) Consider the following LP problem and the final tableau obtained by the Sim- plex method in the tableau form max Z = 321 222 s.t. 2x1 X2 0, x2 > 0 Z 21 24 RHS Basic var. Z 1 0 0 22 0 1 0 0 0 1 12 23 1 1 1 1 -2 -1 40 10 20 I 1 The following sub-problems are independent to each other. All of them start from the tableau above, not from the tableau attained in any previous sub-problem. (a) Find the new optimal solution if the objective function is changed to Z = 421 3x2, without resolving from scratch. [6pts] (b) Find the new optimal solution if the second constraint (x1 - - X2

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