PERT/CPM with Optimistic, Most

Bill Fennema, president of Fennema Construction,
has developed the tasks, durations, and predecessor relationships in
the following table for building new motels. Draw the AON network
and answer the questions that follow.
Time Estimates (in weeks)
Activity Immediate Predecessor(s) Optimistic Most Likely Pessimistic

A —– 4 8 10
B A 2 8 24
C A 8 12 16
D A 4 6 10
E B 1 2 3
F E,C 6 8 20
G E,C 2 3 4
H F 2 2 2
I F 6 6 6
J D,G,H 4 6 12
K I,J 2 2 3

a) What is the expected (estimated) time for activity C?
c) Based on the calculation of estimated times, what is the critical
path?
d) What is the estimated time of the critical path?

PERT/CPM with optimistic, most

A project has the following activities, precedence relationships, and time estimates in days:

Activity Predecessor Optimistic Most likely Pessimistic
Activities Time Time Time
A — 6 7 8
B A 4 4 4
C A 5 6 8
D B 8 10 10
E B 7 10 15
F C 9 9 13
G C 7 7 7
H D 4 6 8
I E, F 6 9 11
J G 8 9 10
K H, I, J 3 5 6

Compute the earliest start, earliest finish, latest start, latest finish, and slack for each activity

What are the critical path and duration of the project?

What is the probability that the project will take longer than 38 days?