Problem 2. Construct a project network with the following precedence relationships: Duration Immediate Activity Successor Optimistic Most Likely Pessimistic E, F 8 10 12 B C, D, E, F 1 1.5 2 H 12 14 16 D G H 2 4 8 E G H 5 6 9 F 0.5 1 3 G 6 8 11 H 1 1.5 3 (f) Based on the first second and third critical paths determine the four most critical activities. Explain your reasons for choosing these four activities. Find a time, say x, such that the probability of project completion time exceeding x is less than approximately 0.10. If the total available resources for this network are 3 units and the resources required for activities A through H are as follows: Activity Resources Required A B D 1 E 1 F 2 G H 1 2 2 i. ii. Find the duration to complete all activities using the ACTIM approach. Find the duration to complete all activities using ACTRES approach