Consider the following optimization problem: Minimize Z = 5x1 +c2x2 subject to

Question 5 (20 points) Consider the following optimization problem: Minimize Z = 5x + C2 X2 subject to 3 x1 + 12x2260 2 xi +222 X2 260 X120 X2 20. The values of parameters c2, 212, and a22 have not been determined yet, since these are uncertain. To find the solution, decision variable xi needs to be fixed first, then decision variable x can be decided upon somewhat later after learning about the uncertainties involved. There are different scenarios that could unfold between now and the time activity 2 is undertaken that would lead to different values for C., aiz, and a22. Therefore, the goal is to use all of this information to choose a value for xi now and to simultaneously determine a plan for choosing a value of xa later after seeing which scenario has occurred. Three equally likely scenarios are considered, with corresponding values of c3, diz, and az that would result from each one: these values are shown below. Scenario 1: c>= 4, 12 = 2, and 222 = 3. Scenario 2: c2=6, a123, and az = 4. Scenario 3: C = 3,2 = 2, and az2 = 1. Use stochastic programming with recourse to formulate the model for this problem, and solve it to find the optimal plan. Interpret the solution