Consider the project with the following estimates for activity times and precedence relationships: Pessimistic Optimistic Time Time 5 9 10 Activity A B C D E F G H 3 5 2 2 1 3 7 2 Most Likely Time 4 7 3 5 7 5 8 6 8 7 7 9 10 Immediate Predecessor(s) -- A B B C, D D, E F (a) What is the expected duration of the project? (b) What is the project variance? (c) If the deadline of the project is 25 days, what is the probability of finishing the project on time?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Consider the project with the following estimates for activity times and precedence relationships:
Optimistic
Time
Pessimistic
Time
3
5
5
9
2
10
2
8
1
7
3
7
7
9
2
10
Activity
A
B
с
D
E
F
G
H
Most
Likely Time
4
7
3
5
7
5
8
6
Immediate
Predecessor(s)
--
A
B
B
C, D
D, E
F
(a) What is the expected duration of the project?
(b) What is the project variance?
(c) If the deadline of the project is 25 days, what is the probability of finishing the project on time?
Transcribed Image Text:Consider the project with the following estimates for activity times and precedence relationships: Optimistic Time Pessimistic Time 3 5 5 9 2 10 2 8 1 7 3 7 7 9 2 10 Activity A B с D E F G H Most Likely Time 4 7 3 5 7 5 8 6 Immediate Predecessor(s) -- A B B C, D D, E F (a) What is the expected duration of the project? (b) What is the project variance? (c) If the deadline of the project is 25 days, what is the probability of finishing the project on time?
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