Levy Furniture, a furniture manufacturer is planning a factory expansion project. The activities required, their immediate predecessors, and the optimistic, most likely, and pessimistic estimates of their times (in days) are provided below. The project network is also provided.
|
Activity
|
Description
|
Immediate Predecessors
|
Optimistic Time (days)
|
Most Likely Time (days)
|
Pessimistic Time (days)
|
|
A
|
Develop initial plans
|
--
|
2
|
2.5
|
6
|
|
B
|
Secure financing
|
A
|
1
|
2
|
3
|
|
C
|
Develop final plans
|
A
|
2
|
3
|
10
|
|
D
|
Hire contractor
|
C
|
1
|
3
|
5
|
|
E
|
Secure permits
|
C
|
1
|
4
|
7
|
|
F
|
Construct addition
|
B,D,E
|
3
|
11
|
13
|
|
G
|
Order equipment
|
A
|
6
|
11
|
22
|
|
H
|
Install equipment
|
F,G
|
1
|
3
|
5
|
a) Construct the project network.
b) Identify the critical path and provide the project completion time.
c) Calculate the slack time for each activity and for each path (relative to the critical path).
d) Looking at only the critical path, find the probability that the store will take more than 23 working days to open.
e) What is the probability of completing path AGH in time for the store to open within 23 working days?