a) What is the probability that the project can be completed in 25 days or fewer?

Practical Management Science
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Chapter2: Introduction To Spreadsheet Modeling
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A new motorway project is being planned in Ireland, with its construction expected to cost €1
billion. The 100km route will connect Ireland's second largest city, Cork, with the city of
Limerick. The intended alignment for the motorway runs alongside the existing N20, which
runs through Blarney, Mallow and Charleville. The new motorway forms part of the Project
Ireland 2040 programme of infrastructure works.
The first step in the project is to appoint a project manager and develop a project team. Once
the team is selected and the staff is in place, the next task is to select a primary contractor to
manage and oversee the construction. The following activities, their immediate predecessors,
as well as the activity time estimates (in days) are standard for the planning and scheduling of
this project:
Activity Immediate predecessor Optimistic Most probable Pessimistic
A
3
5
6.
в
4
6
А, В
A, B
5
6
7
D
7
9
10
E
в
2
4
6
F
1
2
3
G
D
5
8
10
H
D, F
6
8
10
I
E, G, H
3
4
5
a) What is the probability that the project can be completed in 25 days or fewer?
Transcribed Image Text:A new motorway project is being planned in Ireland, with its construction expected to cost €1 billion. The 100km route will connect Ireland's second largest city, Cork, with the city of Limerick. The intended alignment for the motorway runs alongside the existing N20, which runs through Blarney, Mallow and Charleville. The new motorway forms part of the Project Ireland 2040 programme of infrastructure works. The first step in the project is to appoint a project manager and develop a project team. Once the team is selected and the staff is in place, the next task is to select a primary contractor to manage and oversee the construction. The following activities, their immediate predecessors, as well as the activity time estimates (in days) are standard for the planning and scheduling of this project: Activity Immediate predecessor Optimistic Most probable Pessimistic A 3 5 6. в 4 6 А, В A, B 5 6 7 D 7 9 10 E в 2 4 6 F 1 2 3 G D 5 8 10 H D, F 6 8 10 I E, G, H 3 4 5 a) What is the probability that the project can be completed in 25 days or fewer?
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