2. Management decided to implement the project described in the following table: (50%) Predecessor(s) Activity A B Optimistic Time (weeks) 4 2 3 5 Most Likely Time (weeks) 5 4 6 8 8 4 8 7 6 A A,B C,D B,D C.E E,F G Pessimistic Time (weeks) 12 6 9 17 12 6 12 15 15 F G 5 4 I 3 a. Draw the project network. (5%) b. What is the expected completion time of the project? (10%) (i.e., must list all the possible paths and find the longest one as the expected completion path) c. If one path has the longest expected completion time, why is it not necessarily the critical path? (5%) d. What are the variances for each activity?(10%)