(40 pts Q: By using the PERT technique to calculate the duration of activities, as shown in the table below, Draw an activity network for the following project by using AOA method and find: 1. The project's total duration and date of completion and CP (assume the project start date 1st of May 2024). 2. The overall variance of the project? 3. The probability of completing the project in 50 days? 4. The probability of completing the project in 5th of June 2024? 5. With a probability of 90%, what is the expected duration and date for completing the project? Activity Preceding activity Optimistic duration (day) A Most likely duration (day) Pessimistic duration (day) 6 12 18 B 5 7 C 15 8 10 D 12 A 7 10 19 E C 12 15 F 18 A 7 8 G 15 A 5 9 25 H B.D.E 15 17 25 I C 14 19 30 J F 6 8 10

Traffic and Highway Engineering
5th Edition
ISBN:9781305156241
Author:Garber, Nicholas J.
Publisher:Garber, Nicholas J.
Chapter12: Forecasting Travel Demand
Section: Chapter Questions
Problem 14P
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(40 pts
Q: By using the PERT technique to calculate the duration of activities, as shown in the table
below, Draw an activity network for the following project by using AOA method and find:
1. The project's total duration and date of completion and CP (assume the project start
date 1st of May 2024).
2. The overall variance of the project?
3. The probability of completing the project in 50 days?
4. The probability of completing the project in 5th of June 2024?
5. With a probability of 90%, what is the expected duration and date for completing
the project?
Activity
Preceding
activity
Optimistic
duration (day)
A
Most likely
duration (day)
Pessimistic
duration (day)
6
12
18
B
5
7
C
15
8
10
D
12
A
7
10
19
E
C
12
15
F
18
A
7
8
G
15
A
5
9
25
H
B.D.E
15
17
25
I
C
14
19
30
J
F
6
8
10
Transcribed Image Text:(40 pts Q: By using the PERT technique to calculate the duration of activities, as shown in the table below, Draw an activity network for the following project by using AOA method and find: 1. The project's total duration and date of completion and CP (assume the project start date 1st of May 2024). 2. The overall variance of the project? 3. The probability of completing the project in 50 days? 4. The probability of completing the project in 5th of June 2024? 5. With a probability of 90%, what is the expected duration and date for completing the project? Activity Preceding activity Optimistic duration (day) A Most likely duration (day) Pessimistic duration (day) 6 12 18 B 5 7 C 15 8 10 D 12 A 7 10 19 E C 12 15 F 18 A 7 8 G 15 A 5 9 25 H B.D.E 15 17 25 I C 14 19 30 J F 6 8 10
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