A university needs to prepare a banquet for its graduating seniors. The following information describes the relationships between the activities that need to be completed for this banquet. Assume that the catering manager (see problem 9) was able to estimate the number of hours needed to complete each activity as follows.
|
Immediate
|
|
|
|
|
Activity
|
Predecessors
|
Optimistic time
|
Most Likely Time
|
Pessimistic Time
|
|
A
|
-
|
2
|
3
|
5
|
|
B
|
-
|
4
|
6
|
7
|
|
C
|
A, B
|
3
|
4
|
5
|
|
D
|
C
|
2
|
3
|
5
|
|
E
|
C
|
1
|
2
|
3
|
|
F
|
D, E
|
5
|
7
|
11
|
|
G
|
E
|
6
|
8
|
9
|
|
H
|
F, G
|
4
|
6
|
7
|
a. Use PERT to identify the expected time and variance for each activity.
b. What is the critical path?
c. What is the expected time and variance of the critical path?
d. Determine the expected completion time of the project.
e. Determine the probability that the project will be completed in
i. Less than 25 hours.
ii. Greater than 25 hours.