Consider the following problem. Max 2 = 5x + 2x - X3 s.t. 4x2x 5 30 X + 5xy 220 X1, X, X 20 Part a) Given the following ranges for parameters, use robust optimization to formulate a conservative version of this model. Parameter " " 5 #,3 0.1 da b #,2 032 by Range [1.6] [1.3] [-6,0] [2.5] [-4,0] [0.2] [4.6) Part b) If the availability of the first resource follows normal distribution with 25 mean and 3 standard deviation, formulate a chance constraint model for a risk seeker decision maker with the risk acceptance level of 30 percent. Scenario 1st Probability 0.2 C 1 4 20 [20,40] [12.25) Part c) Given the following scenarios for parameters, formulate a two-stage model to find the optimal solution for x, which is feasible and optimal in both scenarios. 2nd 0.8 2 S 23