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Consider the project with the listed activities, and precedence relationships. Probabilistic durations are given (represented by Beta-distribution). Times are given in weeks.
Activity Predecessor a m b Expected Durations Variance
A - 3 5 7
B - 7 11 15
C A, B 5 6 7
D B 7 12 17
E C 8 8 8
F D, E 7 8 9
G E, F 5 6 10
H F 4 7 10
(a) Compute the variance and expected duration of each activity.
(b) Draw an activity-on-node precedence diagram for the project.
(c) Using the “most likely” time estimates, calculate the Early Start (ES), Early Finish (EF), Late Start (LS), Late Finish (LF), and Slack Time (ST) for the activities in the project.
(d) Identify the critical path.
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