i) Draw a network and find the critical path, what is the expected length of the critical path and what is its variance ? ii) What is the probability that the length of the critical path does not exceed a) 32 weeks b) 36 weeks.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Question
A publisher has rest signed a contract for the publication of a book. What is the
earliest time that the book can be ready for distribution ? The tasks in the table
are involved, with the estimates given in weeks.
Activity
Precedence
F
H
E
C, D | F. G
Most likely
3
6
8
Optimistic
2
3
3
6
Pessimistic
2
3
12
5
3
16
1
i) Draw a network and find the critical path, what is the expected length of the
critical path and what is its variance ?
ii) What is the probability that the length of the critical path does not exceed
a) 32 weeks
b) 36 weeks.
A
AN
8
4
10
B
www
2
с D
A
6
A, B
2
1
4
E
C, D
4
(33
E
4
3
5
$
9
1
1
Transcribed Image Text:A publisher has rest signed a contract for the publication of a book. What is the earliest time that the book can be ready for distribution ? The tasks in the table are involved, with the estimates given in weeks. Activity Precedence F H E C, D | F. G Most likely 3 6 8 Optimistic 2 3 3 6 Pessimistic 2 3 12 5 3 16 1 i) Draw a network and find the critical path, what is the expected length of the critical path and what is its variance ? ii) What is the probability that the length of the critical path does not exceed a) 32 weeks b) 36 weeks. A AN 8 4 10 B www 2 с D A 6 A, B 2 1 4 E C, D 4 (33 E 4 3 5 $ 9 1 1
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