Mgt 3410 final examination spring 2014
MGT 3410 Final Examination Spring 2014
Question no 3
3. Given the following network with activities and times estimated in days,
Activity Optimistic
Most
Probable
Pessimistic
A 2 5 6
B 1 3 7
C 6 7 10
D 5 12 14
E 3 4 5
F 8 9 12
G 4 6 8
H 3 6 8
I 5 7 12
J 12 13 14
K 1 3 4
a. Fill in all the blanks in the following table. (15 points)
Note:
i) To reduce the computation load, please round the expected activity time (t)
up to an integer if the computed expected activity time is not an integer. For
example, if tA=4.15, round it up to 5.
ii) For variance (σ
2
) in activity time, keep two decimal places.
Activity
Precedence
Activities
Expected
Time t (days)
Varianc
e σ2
ES
LS
EF
LF
Slack
Critical
Path?
A
B
C
D
E
F
G
H
I
J
K
b. What is the expected time and variance to complete the project? (8 points)
c. What is the probability the project will take more than 28 days to complete? (8
points)
Activity
Precedence
Activities
Expected
Time t (days)
Varianc
e σ2
ES
LS
EF
LF
Slack
Critical
Path?
A
B
C
D
E
F
G
H
I
J
K
b. What is the expected time and variance to complete the project? (8 points)
c. What is the probability the project will take more than 28 days to complete? (8
points)
