Table I: Estimated activity times for works to be completed by Contractor x Optimistic time (weeks) Activity Likely time (4) Pessimistic time (weeks) A-B 2 3 B-C 6 B-H 5 6 C-D 10 12 D-E D-F 3 4 E-G 4 5 3 G-H 3 G4 6 G-K 3 H-L 2 3 2 3 H-M 10 -K 2 K-M 3 L-M M-N a. Using a programme evaluation and review technique (PERT) approach draw a project schedule showing the activities and critical | path b. Calculate the probability of the project being completed by the end of week 48. c. Discuss some of the main applications and limitations of the PERT based approach and explore the likely applicability or otherwise of the approach for use in the case study

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Question 3
Table I: Estimated activity times for works to be completed by Contractor X
Optimistic time
(weeks)
Activity
Likely time (4)
Pessimistic time
(weeks)
A-B
2
B-C
3
6
9
B-H
4
5
6
C-D
8
10
12
D-E
3
D-F
4
E-G
3
5
2
G-H
3
5
8
G-K
3
H-L
2
3
2
3
-M
7
10
J-K
K-M
3
2
3
L-M
3
4
M-N
3
a. Using a programme evaluation and review technique (PERT)
approach draw a project schedule showing the activities and critical |
path
b. Calculate the probability of the project being completed by the end
of week 48.
c. Discuss some of the main applications and limitations of the PERT
based approach and explore the likely applicability or otherwise of the
approach for use in the case study
Transcribed Image Text:Question 3 Table I: Estimated activity times for works to be completed by Contractor X Optimistic time (weeks) Activity Likely time (4) Pessimistic time (weeks) A-B 2 B-C 3 6 9 B-H 4 5 6 C-D 8 10 12 D-E 3 D-F 4 E-G 3 5 2 G-H 3 5 8 G-K 3 H-L 2 3 2 3 -M 7 10 J-K K-M 3 2 3 L-M 3 4 M-N 3 a. Using a programme evaluation and review technique (PERT) approach draw a project schedule showing the activities and critical | path b. Calculate the probability of the project being completed by the end of week 48. c. Discuss some of the main applications and limitations of the PERT based approach and explore the likely applicability or otherwise of the approach for use in the case study
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