Answer:
Critical path = A-D-F-H
Duration = 22
Step-by-step explanation:
Given:
Activity A B C D E F G H
Time 5 3 7 6 7 3 10 8
The objective is to identify the critical path and to find the time needed to complete this project
Solution:
The possible paths are as follows,
A-C-H = 5+7+8 =20
A-D-F-H = 5+6+3+8 =22
A-D-G = 5+6+10 = 21
B-E-G = 3+7+10 = 20
B-E-F-H = 3+7+3+8 = 21
a)
Critical is the path with the longest duration
Critical path =A-D-F-H
The duration is 22
b)
The duration to complete the project is as follows,
Duration = Length of critical path = 22