
Concept explainers
Consider the following table:
ACTIVITY PREC. ACT. TIME ESTIMATES (days)
to tml tp te
A --- 2 3 4
B --- 4 7 10
C A 1 2 3
D B 2 5 8
E B 4 6 8
F C , D 1 1 1
G E 3 4 5
H G , F 3 6 15
1. Construct a PERT network. [NOTE: This is the most crucial part of the exercise. Make sure you have the correct network before proceeding to the next sections.]
2. By using ES, EF, LF, LS, find the slack of each activity and the critical path. Show times on network!
3. Find the completion time ( ) and the standard deviation (σ) for the project— round off the standard deviation to the nearest hundredth: two decimal places.
4. What is the completion time at 68% and 99.7% confidence levels?
5. What is the likelihood of this project being completed in less than 23 days?
6. Between 23 and 26 days?

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