Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 42-week completion date requested by the owner. The Mueller project manager prepared the following project network. Start Activity A B C D E F Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows. Optimistic Most Probable G H 4 6 6 3 6 5 10 A 5 8 7 12 5 9 8 15 B 6 с D Pessimistic 12 8 18 7 18 17 20 F 13 E H Finish O

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 42-week completion
date requested by the owner. The Mueller project manager prepared the following project network.
Start
Activity
A
B
C
D
E
F
G
Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows.
H
4
6
6
Optimistic Most Probable
3
6
5
A
10
5
8
7
12
5
9
8
B
15
C
6
D
Pessimistic
12
8
18
7
18
17
20
F
13
E
G
H
Finish
(ii)
Transcribed Image Text:Mueller & Associates is a urban planning firm that is designing a new public park in an Omaha suburb. Coordination of the architect and subcontractors will require a major effort to meet the 42-week completion date requested by the owner. The Mueller project manager prepared the following project network. Start Activity A B C D E F G Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows. H 4 6 6 Optimistic Most Probable 3 6 5 A 10 5 8 7 12 5 9 8 B 15 C 6 D Pessimistic 12 8 18 7 18 17 20 F 13 E G H Finish (ii)
(a) Find the critical path. (Enter your answers as a comma-separated list.)
A, C, E, G, H
(b) What is the expected project completion time (in weeks)?
52
weeks
(c) Based only on the critical path, what is the estimated probability the project can be completed in 42 weeks as requested by the owner? (Round your answer to four decimal places.)
0.0013 X
(d) Based only on the critical path, what is the estimated probability the building project could run more than 3 months late? Use 55 weeks for this calculation. (Round your answer to four decimal places.)
0.0000
(e) What should the construction company tell the owner? (Enter your free-form answer using as many characters as necessary.)
Transcribed Image Text:(a) Find the critical path. (Enter your answers as a comma-separated list.) A, C, E, G, H (b) What is the expected project completion time (in weeks)? 52 weeks (c) Based only on the critical path, what is the estimated probability the project can be completed in 42 weeks as requested by the owner? (Round your answer to four decimal places.) 0.0013 X (d) Based only on the critical path, what is the estimated probability the building project could run more than 3 months late? Use 55 weeks for this calculation. (Round your answer to four decimal places.) 0.0000 (e) What should the construction company tell the owner? (Enter your free-form answer using as many characters as necessary.)
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