Compute the expected activity completion times and the variance for each activity
Compute the expected activity completion times and the variance for each activity
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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![The following estimates of activity times (in days) are available for a small project.
Activity
Optimistic
Most Probable
Pessimistic
A
6.0
7
B
10.0
11
C
8.5
12.5
D
10.0
11
8.0
10
F
3
4.0
5
(a) Compute the expected activity completion times and the variance for each activity. (Round your answers to two decimal places.)
Expected
Activity
Variance
Times
A
(b) An analyst determined that the critical path consists of activities B-D-F. Compute the expected project completion time and the variance of this path. (Round your answers to two decimal places.)
expected project completion time
variance of projection completion time](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F845cc991-f9af-4030-ab65-04dc56a6a991%2F059ba8cf-43da-488f-99ee-46182a2fdc4c%2Fur6vb6_processed.png&w=3840&q=75)
Transcribed Image Text:The following estimates of activity times (in days) are available for a small project.
Activity
Optimistic
Most Probable
Pessimistic
A
6.0
7
B
10.0
11
C
8.5
12.5
D
10.0
11
8.0
10
F
3
4.0
5
(a) Compute the expected activity completion times and the variance for each activity. (Round your answers to two decimal places.)
Expected
Activity
Variance
Times
A
(b) An analyst determined that the critical path consists of activities B-D-F. Compute the expected project completion time and the variance of this path. (Round your answers to two decimal places.)
expected project completion time
variance of projection completion time
![Davison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect and subcontractors will require a major effort to meet the 46-week completion date
requested by the owner. The Davison project manager prepared the following project network.
B
F
H
Start
A
G
Finish
D
E
Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows.
Activity
Optimistic
Most Probable
Pessimistic
A
4
8
12
B
6
6
12
18
D
7
E
6
18
F
5
17
G
10
15
20
H
5
6
13
(a) Find the critical path. (Enter your answers as a comma-separated list.)
(b) What is the expected project completion time (in weeks)?
weeks
(c) Based only on the critical path, what is the estimated probability the project can be completed in 46 weeks as requested by the owner? (You may need to use the appropriate technology to answer this question. Round
your answer to four decimal places.)
(d) Based only on the critical path, what is the estimated probability the building project could run more than 3 months late? Use 59 weeks for this calculation. (You may need to use the appropriate technology to answer
this question. Round your answer to four decimal places.)
in](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F845cc991-f9af-4030-ab65-04dc56a6a991%2F059ba8cf-43da-488f-99ee-46182a2fdc4c%2Fkckuplp_processed.png&w=3840&q=75)
Transcribed Image Text:Davison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect and subcontractors will require a major effort to meet the 46-week completion date
requested by the owner. The Davison project manager prepared the following project network.
B
F
H
Start
A
G
Finish
D
E
Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows.
Activity
Optimistic
Most Probable
Pessimistic
A
4
8
12
B
6
6
12
18
D
7
E
6
18
F
5
17
G
10
15
20
H
5
6
13
(a) Find the critical path. (Enter your answers as a comma-separated list.)
(b) What is the expected project completion time (in weeks)?
weeks
(c) Based only on the critical path, what is the estimated probability the project can be completed in 46 weeks as requested by the owner? (You may need to use the appropriate technology to answer this question. Round
your answer to four decimal places.)
(d) Based only on the critical path, what is the estimated probability the building project could run more than 3 months late? Use 59 weeks for this calculation. (You may need to use the appropriate technology to answer
this question. Round your answer to four decimal places.)
in
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