A project consists of nine jobs (A, B, C, D, E, F, G, H and I) with the following preceding activities and time estimates in days. Job Preceding activity Optimistic time Most likely time Pessimistic time ABCDEFGHI (a) (m) (b) 4 7 4 A, B 7 A, B 3 B 6 D, E 4 C, F 4 D, E 2 G, H 3 63627256 15 13 30 12 18 16 10 28 6509868800 16 (a) Construct the project network for the activities (b) Determine the critical path and the expected duration (c) Determine the probability that the project will be completed in 50 days (d) Calculate the total float on the non-critical activities (15 Marks)