Assume the following activities for a project along with their estimated durations and
predecessors. Calculate activity durations and construct a PERT chart based on the information
in the table. Then answer the following questions. When specifying a path in your answer, refer
to the path in terms of its activities, e.g. Path R-S-T-X-Z. Also, be sure to show intermediate
work if you want partial credit. Submit your answers to the Activity 4 Dropbox.
Activity Predecessor Optimistic Estimated
Duration
Most Likely Estimated
Duration
Pessimistic Estimated
Duration
A None 2 3 5
B A 2 4 5
C A 1 2 3
D B 3 4 5
E C 3 3 7
F C 2 5 5
G E 2 3 4
H D,G,I 1 1 1
I F 3 3 7
J H 1 2 4
1. What is the critical path?
2. What path has the most slack time?
3. If Activity E is crashed to half the number of days, what is the critical path?
4. If instead of crashing Activity E, Activity F is crashed to half the number of days, what
is the critical path?
Rubric for your grade (maximum grade is 5):
Incorrect answer for any question: -1