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# Critical Path : PERT Method

A project is composed of 8 tasks. The three-time estimates (in days) for each activity and the precedence requirements for each are shown in the table below:

Activity.............Activity Time Estimates...........Immediate Predecessor
A..................................2,3,4......................................None
B.................................3,4,11.....................................None
C..................................1,2,3.......................................A,B
D..................................4,5,12........................................C
E..................................3,5,7..........................................C
F..................................2,3,4..........................................E
G..................................2,3,10........................................C
H..................................2,3,4.......................................D,G,F
I....................................2,3,10.......................................D,F
J...................................1,2,3...........................................H
K..................................1,2,3...........................................I,J

A. Determine the critical path or paths
B. Determine slack times for all activities and fill the table in the answer sheet
C. What are the chances that the project will finish within 25 days
D. What are the chances that the project will take longer than expected to finish.

#### Solution Summary

The solution determines the slack times and critical path in the given case. It also depicts the steps to estimate the desired probability values.

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