The manager of the Oak Hills Swimming Club is planning the club’s swimming team program. The first team practice is sche
Posted: Sun May 08, 2022 7:54 pm
The manager of the Oak Hills Swimming Club is planning the
club’s swimming team program. The first team practice is scheduled
for May 1. The activities, their immediate predecessors, and the
activity time estimates (in weeks) are as follows:
Activity
Optimistic
Most Probable
Pessimistic
Immediate Predecessors
A
1
2
3
-
B
4
6
8
A
C
2
4
6
A
D
1
2
3
B, C
E
2
3
4
B
F
1
2
3
A
G
1
2
3
D
H
1
2
3
G
I
1
1
1
E, H, F
Draw a project network for this problem. (5 points)
Fill in all the blanks in the following table. (10 points)
Note: For variance
(σ2)
in activity time, keep two decimal places.
Activity
Expected Time t (weeks)
Variance σ2
ES
EF
LS
LF
Slack
Critical
Path?
A
B
C
D
E
F
G
H
I
What is the expected time and variance to complete the project?
(4 points)
If the club manager plans to start the project on February 1,
what is the probability the swimming program will be ready by the
scheduled May 1 date (13 weeks)? (4 points)
Suppose activity E were delayed for 4 weeks. By how much would
the entire project be delayed? (4 points)
club’s swimming team program. The first team practice is scheduled
for May 1. The activities, their immediate predecessors, and the
activity time estimates (in weeks) are as follows:
Activity
Optimistic
Most Probable
Pessimistic
Immediate Predecessors
A
1
2
3
-
B
4
6
8
A
C
2
4
6
A
D
1
2
3
B, C
E
2
3
4
B
F
1
2
3
A
G
1
2
3
D
H
1
2
3
G
I
1
1
1
E, H, F
Draw a project network for this problem. (5 points)
Fill in all the blanks in the following table. (10 points)
Note: For variance
(σ2)
in activity time, keep two decimal places.
Activity
Expected Time t (weeks)
Variance σ2
ES
EF
LS
LF
Slack
Critical
Path?
A
B
C
D
E
F
G
H
I
What is the expected time and variance to complete the project?
(4 points)
If the club manager plans to start the project on February 1,
what is the probability the swimming program will be ready by the
scheduled May 1 date (13 weeks)? (4 points)
Suppose activity E were delayed for 4 weeks. By how much would
the entire project be delayed? (4 points)