The MXN Sdn.Bhd. has identified eight activities that would need to be implemented in order to complete the construction project as listed in the table below. Using the PERT three-estimate approach, the company has obtained the estimated duration and the precedence relationships for each activity. In addition, the company may get penalized if it fails to complete the project within 35 weeks. Activity A B с D E F G H Table 2: Project Description Immediate predecessor(s) None A A None B,C C C,D D,F E,G Optimistic a 2 A 4 7 3 2 SKT Time estimate (week) Most likely 3 m 6 8 6 13 7 4 Pessimistic b 7 9 8 16 13 17 9 9 (a) Construct the activity on the node (AON) network for this project. (b) Compute the expected activity time and the variance for each activity. (c) Determine the forward and backward pass, activity slack, and identify the critical path.
The MXN Sdn.Bhd. has identified eight activities that would need to be implemented in order to complete the construction project as listed in the table below. Using the PERT three-estimate approach, the company has obtained the estimated duration and the precedence relationships for each activity. In addition, the company may get penalized if it fails to complete the project within 35 weeks. Activity A B с D E F G H Table 2: Project Description Immediate predecessor(s) None A A None B,C C C,D D,F E,G Optimistic a 2 A 4 7 3 2 SKT Time estimate (week) Most likely 3 m 6 8 6 13 7 4 Pessimistic b 7 9 8 16 13 17 9 9 (a) Construct the activity on the node (AON) network for this project. (b) Compute the expected activity time and the variance for each activity. (c) Determine the forward and backward pass, activity slack, and identify the critical path.
Practical Management Science
6th Edition
ISBN:9781337406659
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Question
![The MXN Sdn. Bhd. has identified eight activities that would need to be implemented in order to
complete the construction project as listed in the table below. Using the PERT three-estimate
approach, the company has obtained the estimated duration and the precedence relationships for
each activity. In addition, the company may get penalized if it fails to complete the project within
35 weeks.
Activity
A
B
с
D
E
F
G
H
Immediate
predecessor(s)
None
A
A
None
B,C
C,D
Table 2: Project Description
D, F
E, G
Optimistic
2
7
4
7
3
2
Time estimate (week)
SKT
AM
X
Most likely
m
6
8
13
7
9
6
Pessimistic
b
7
16
13
17
9
9
(a) Construct the activity on the node (AON) network for this project.
(b) Compute the expected activity time and the variance for each activity.
termine the forward and backward pass, activity slack, and identify the critical path.
Estimate the probability that all the activities on the current critical path will be completed
within 35 weeks.
(e) Estimate the probability that the company may get penalized due to the late project
completion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76ebd6d6-0273-4e4f-bf27-2e912d2b9fdb%2F9ce66908-0d11-4f73-8b46-9c4a09867dbf%2F62zc1sc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The MXN Sdn. Bhd. has identified eight activities that would need to be implemented in order to
complete the construction project as listed in the table below. Using the PERT three-estimate
approach, the company has obtained the estimated duration and the precedence relationships for
each activity. In addition, the company may get penalized if it fails to complete the project within
35 weeks.
Activity
A
B
с
D
E
F
G
H
Immediate
predecessor(s)
None
A
A
None
B,C
C,D
Table 2: Project Description
D, F
E, G
Optimistic
2
7
4
7
3
2
Time estimate (week)
SKT
AM
X
Most likely
m
6
8
13
7
9
6
Pessimistic
b
7
16
13
17
9
9
(a) Construct the activity on the node (AON) network for this project.
(b) Compute the expected activity time and the variance for each activity.
termine the forward and backward pass, activity slack, and identify the critical path.
Estimate the probability that all the activities on the current critical path will be completed
within 35 weeks.
(e) Estimate the probability that the company may get penalized due to the late project
completion.
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