Question 2 (35 points). Activity Predecessor Optimistic Most Likely Pessimistic 4 6 7 B 1 2 3 A 6 6 6 D A 5 8 11 E B.C 1 9 18 F D 2 3 6 G D 1 7 8 H 4 6 E.F GH I 1 6 8 I 2 5 7 K 1 8 9 11 L J 2 4 6 M K 1 2 3 N LM 6 8 10 a) (10 points) Develop an AON diagram for the given activities. b) (5 points) Find the critical path and project completion time. c) (7 points) Find the probability of completing the project at 53 weeks. d) (13 points) The project manager is promised $10,000 if the project completed in less than 47 weeks, $6000 if the project completed within 47-54 weeks, and no reward if the project goes above 54 weeks. What is the expected value of the manager's bonus