Question 3 [2n] Elon Builders is contemplating producing sheds for home use. Activities necessary to build an experimental model and related data are given in the following table: Predecessor Completion time Triang[3; El; 12] days U[E; 111] days 3 i Expo[5] days 3 days with probability 3.15 '1' days with probability [1.43 5 days with probability [1.41] 3 i W'eibull[3.2; 4] days . , Uniform DU[EI; 12] days The manager leading the project wants to determine which of the three paths ACFH, ACEGH and EDGH is the critical path [that is, the path which takes the longest time to complete]. To determine the length of a given path, we simply add the completion times of each of its activities. For example, the length of ACFH is given by adding the completion times for the tasks A, C, F and H. Answer the following questions: E: III IE- I}- E I. I11 D 3.1 Using random numbers U1 = 13.75; U2 = [1.35; U3 = [1.135; U: = H.45,U5 = [1.75; Us = 0.51]; U? = 0.95; Us = 0.541} generate completion times for tasks A, E, C, D, E, F, G and H respectively. [14] 3.2 Using the results of question 3.1, determine the corresponding critical path. [4] 3.3 'Would you advise the project manager to consider the path obtained in question 3.2 as the critical path of the project? Justify your answer. [2]