A partially solved PERT problem is detailed in the table below. Times are given in weeks. Immediate Optimistic Most Likely Pessimistic Activity Predecessor(s) Time Time Time A 5 11 14 B 3 3 9 6 10 14 7 D A,B 3 5 E B 4 6 11 F 8 13 D, E 2 4 6 H F 3 3 9 - G 2 4 6 H 4 4 7 9 1, 4 7 8 a) Calculate the expected duration (D), and variance of each activity. b) Calculate ES, EF, LS, LF, S for each activity. Activity ET Variance ES EF LS LF S A B D E F G . K weeks % c) Which activities form the critical path? d) What is the estimated time of the critical path? e) If the project is due to be completed in 34 weeks, what is the probability that the project will be completed on the due date? f) If the project manager wants at least a 95% probability that the project will be completed on the due date, what is the shortest project due date that will satisfy the manager? 9) Which activity(ies) can be delayed 10.83 weeks without impacting the expected project completion date? weeks h) How many week(s) can you delay the activity D, without impacting the expected project completion date? weeks