A) Construct the project network for the activities B) Determine the critical path and the expected duration C) Determine the probability that the project will be completed in 50 days D) Calculate the total float on the non-critical activities
A) Construct the project network for the activities B) Determine the critical path and the expected duration C) Determine the probability that the project will be completed in 50 days D) Calculate the total float on the non-critical activities
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 21P
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Transcribed Image Text:A project consists of nine jobs (A, B, C, D, E, G, H and I) with the following preceding activities and
time estimates in days.
Job
A
B
с
D
E
F
G
H
I
Preceding activity Optimistic time(a) Most likely
time(m)
7
6
13
6
12
7
10
5
6
A,B
A,B
B
D.E
C,F
D.E
G,H
4
4
7
3
6
4
4
2
3
A) Construct the project network for the activities
B) Determine the critical path and the expected duration
C) Determine the probability that the project will be completed in 50 days
D) Calculate the total float on the non-critical activities
Pessimistic
time(b)
16
15
30
9
18
16
28
8
9
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Step 1: Introduce steps to calculate early and late time:
VIEWStep 2: Calculate expected duration and variance of each activity:
VIEWStep 3: Construct the network diagram:
VIEWStep 4: Determine the critical path and the expected duration:
VIEWStep 5: Determine the probability
VIEWStep 6: Calculate total float
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