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Kelle Carpet and Trim installs carpet in commercial offices. Peter Kelle has been very concerned with the amount of time it took to complete several recent jobs. Some of his workers are very unreliable. A list of activities and their optimistic completion time, the most likely completion time, and the pessimistic completion time (all in days) for a new contract are given in the following table:
ACTIVITY
TIME (DAYS)
IMMEDIATE PREDECESSOR(S)
a
m
b
A
3
6
8
-
B
2
4
C
1
D
7
E
B, D
F
10
14
A, E
G
H
9
I
11
12
J
16
20
K
H, I
a) Determine the expected completion time and variance for each activity.
b) Determine the total project completion time and the critical path for the project.
c) Determine ES, EF, LS and LF.
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Estimated time for critical path is 120 days. Sum of all activities variances is 64, while sum of variances along activities path is 36. Probability which project will be completed among 108 also 120 is?
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