weeks. (Round your response to two decimal places.) weeks. (Round your response to two decimal places.) d) The estimated time for the critical path is e) The activity variance along the critical path is f) Using the standard normal table, the probability that Hopkins Hospitality will finish the project in 42 weeks or less is probability and round your response to three decimal places.) (Enter as a

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 100P
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Question
Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, durations, and predecessor relationships in the following table for
building new motels.
Activity
A
B
C
D
E
F
a
Time (weeks)
4
1
8
5
1
6
m
9
8
14
7
2
9
b
12
23
18
10
4
20
Immediate
Predecessor(s)
A
A
A
B
C, E
Activity
G
H
I
J
K
a
3
1
7
4
1
Time (weeks)
m
3
1
7
8
1
b
5
1
7
12
4
Immediate
Predecessor(s)
C, E
F
F
D, G, H
I, J
Transcribed Image Text:Ross Hopkins, president of Hopkins Hospitality, has developed the tasks, durations, and predecessor relationships in the following table for building new motels. Activity A B C D E F a Time (weeks) 4 1 8 5 1 6 m 9 8 14 7 2 9 b 12 23 18 10 4 20 Immediate Predecessor(s) A A A B C, E Activity G H I J K a 3 1 7 4 1 Time (weeks) m 3 1 7 8 1 b 5 1 7 12 4 Immediate Predecessor(s) C, E F F D, G, H I, J
a) The expected (estimated) time for activity C is 13.67 weeks. (Round your response to two decimal places.)
b) The variance for activity C is 2.78 weeks. (Round your response to two decimal places.)
c) Based on the calculation of the estimated times, the critical path is A-C-F-H-J-K
d) The estimated time for the critical path is
e) The activity variance along the critical path is
weeks. (Round your response to two decimal places.)
weeks. (Round your response to two decimal places.)
f) Using the standard normal table, the probability that Hopkins Hospitality will finish the project in 42 weeks or less is
probability and round your response to three decimal places.)
(Enter as a
Transcribed Image Text:a) The expected (estimated) time for activity C is 13.67 weeks. (Round your response to two decimal places.) b) The variance for activity C is 2.78 weeks. (Round your response to two decimal places.) c) Based on the calculation of the estimated times, the critical path is A-C-F-H-J-K d) The estimated time for the critical path is e) The activity variance along the critical path is weeks. (Round your response to two decimal places.) weeks. (Round your response to two decimal places.) f) Using the standard normal table, the probability that Hopkins Hospitality will finish the project in 42 weeks or less is probability and round your response to three decimal places.) (Enter as a
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