Task Precedence Optimistic Most Likely Pessimistic A - 6 9.9 14.49 B A 1 3 5.2 C
ID: 1187436 • Letter: T
Question
Task
Precedence
Optimistic
Most Likely
Pessimistic
A
-
6
9.9
14.49
B
A
1
3
5.2
C
-
2
3.5
8
D
C
1.9
4
12.3
E
A, D
2
3
10.27
F
A, D
3.8
4.1
15.8
G
B, E
3
4.5
9
H
F
1
1.7
4.3
I
G, H
3.5
5.1
12
J
F
5.1
12.9
15.1
a. Draw the network graph
b. Compute the Expected Value for each task (show these values on the above table).
c. Compute the Variance for each task (show these values on the above table).
d. Compute the Earliest Start, Earliest Finish, Latest Start, Latest Finish, and Slack for each
task. Show ES, EF, LS, LF on the network graph, show Slack on the above table)
e. What tasks are on the Critical Path? (highlight it on the network graph)
f. What is the Expected project completion time?
g. What is the Standard Deviation of the project completion time?
h. Draw the project probability distribution function, what is the name of this distribution?
i. Label the distribution with the mean, standard deviation (positive and negative), and 2x
the standard deviation (positive and negative) values.
j. What is the probability that the task will be completed by 24 days? (show this on the
distribution plot)
k. What is the probability that the project will be completed by 33 days? (show this on the
distribution plot)
l. Draw a Gantt Chart for the project. Show each task (and label with task number), task
slack, precedence order (arrows indicating task end to task start) and highlight tasks on
the critical path.
m. You realize you can put some extra resources on Task A. How much time can reduce
Task A while still seeing a reduction in the overall schedule?
Task
Precedence
Optimistic
Most Likely
Pessimistic
A
-
6
9.9
14.49
B
A
1
3
5.2
C
-
2
3.5
8
D
C
1.9
4
12.3
E
A, D
2
3
10.27
F
A, D
3.8
4.1
15.8
G
B, E
3
4.5
9
H
F
1
1.7
4.3
I
G, H
3.5
5.1
12
J
F
5.1
12.9
15.1
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