A manufacturing company is planning to use PERT to setup a project for a new production line. For this project, they have established the following activities, precedence relationships, and time estimates in days: Immediate Most Activity Predecessors Optimistic Likely Pessimistic a -- 8 10 12 b -- 6 7 9 c b 3 3 3 d a 10 15 20 e d 6 7 8 f c 9 10 11 g d 5 7 10 h e, f 14 15 16 ​ a. Determine the critical path and the expected duration of the project. b. What is the probability that the project will take less than 50 days to complete?