Your child is a member of the school theater group and have been asked to prepare the schedule, etc. for a skit to be performed during the 4th of July celebration in the local village square. As a volunteer, you offer to serve as the project controller because of your expertise in schedule management.
(A) Construct an AON diagram. Ensure that you include a Start activity and a Finish activity. Include a legend.
(B) Calculate the estimated time for each activity using PERT techniques. Include a sample calculation.
Prepare a table that identifies all paths and their lengths. Which path is the critical path?
(C) During the execution phase of the skit project, one of the activities on the critical path is delayed by one day. Is this serious?
Using the activity estimates for optimistic, pessimistic and most likely time to complete activities on the critical path, qualitatively discuss the estimate uncertainty of the critical path.

Activity Predecessor Time (days)
Optimistic Most Likely Pessimistic
1 None 2 4 6
2 None 5 5 5
3 2 3 5 7
4 1 7 10 13
5 1 11 12 13
6 2,4 5 6 7
7 3 9 10 11
8 3,6 5 7 9
9 4 7 9 11
10 5 3 3 3
11 7 15 17 19
12 8 6 8 10
13 9,10 7 8 15
14 7 12 14 16
15 12,13 16 17 18