The network below represents a project being analzed by the

The network below represents a project being analzed by the critical path method. Activity durations are A=5, B=2, C=12, D=3, E=5, F=1, G=7, H=2, I=10, and J=6. What is the length of the critical path

Solution

There are four possible paths for the given network diagram. Time taken to complete path activities are given below:

Path time

1) Start-A-B-E-H-J = 5+2+5+2+6 = 20

2) Start- A-B-G-I-J = 5+2+7+10+6= 30

3) Start-A-C-H-J = 5+12+2+6=25

4) Start - D-F-I-I = 3+1+10+6=20

Since path 2, Start-A-B-G-I-J = 30 takes maximum time to complete activities and reach to destination, this is a CRITICAL PATH. The length of critical path is 30 ( Unit of time).