Share
Explore BrainMass

Project Management: CPM/PERT Techniques

Using the following project information

Activity Optimistic Time Most Likely Time Pessimistic Time Immediate Predecessor(s) Variance Expected Time
A 3 6 9 none 1.000 6.00
B 3 5 7 A 0.444 5.00
C 4 7 12 A 1.778 7.33
D 4 8 10 B 1.000 7.67
E 5 10 16 C 3.361 10.17
F 3 4 5 D,E 0.111 4.00
G 3 6 8 D,E 0.694 5.83
H 5 6 10 F 0.694 6.33
I 5 8 11 G 1.000 8.00
J 3 3 3 H,I 0.000 3.00

The critical path is A-C-E-G-I-J.
(a) Calculate the probability that the project will be completed in 38 weeks.

(b) Calculate the probability that the project will be completed in 42 weeks.

Attachments

Solution Preview

Please refer attached file for better clarity of expressions.

(a) Calculate the probability that the project will be completed in 38 weeks.
Expected time to complete the project (A-C-E-G-I-J )=sum of expected times of activities on critical path
...

Solution Summary

This solution provides necessary calculations to determine the desired probabilities values.

$2.19