In: Finance
1. What is the duration of the critical path? Please show me step by step on how you were able to solve this. I WANT TO KNOW IN DETAILED STEPS ON HOW YOU DO THIS, I HAVE NO CLUE/HAVE KNOWLEDGE ABOUT THIS.
Activity | Duration | Predecessor |
A | 2 | Start |
B | 4 | A,E |
C | 6 | A |
D | 3 | B,C |
E | 7 | Start |
F | 2 | E |
End | - | D,F |
`Activity column represents the activities to be carried in a project. Predecer column shows the activity which should be perforemed earlier against the activity. Say Activity B 3-4 can be started only after activity A and E are done. Activities A and E are the first activities to be perfomed. 2-3 is dummy which do not have any time. First 1-2 activity A and 1-3 activity E are started. Later activity B started which has preceded activites as A and E. 2-4 activity C preceds activity A and 4-5 activity D preceds activity B and C. 3-5 activity F preceds Activity E 1-3.
Now, after forms whole project. Paths need to be identified.
1-2-4-5 is first path
1-2-3-4-5 is second path
1-3-4-5 is third path
1-3-5 is fourth path
1-2-3-5 is fifth path
Now total time for each path need to found out
1-2 = 2 , 2-4 = 6, 4-5 = 3, 1-3 = 7 , 3-4 = 4, 3-5 = 2 , 2-3 = 0
Using above , find total time for each path
1-2-4-5 = 2+6+3 ( 1-2 =2, 2-4=6,4-5=3)
= 11
1-2-3-4-5 = 2+0+4+3 (1-2=2,2-3=0,3-4 = 4, 4-5=3)
= 9
1-3-4-5 = 7+4+3 (1-3=7, 3-4=4,4-5=3)
= 14
1-3-5 = 7+2 (1-3 =7, 2)
= 9
1-2-3-5 = 2+0+2 (1-2= 2, 2-3=0, 3-5= 2)
= 4
Amoung all paths, Path which has longer time is critical path. 1-3-4-5 = 14 is longest and crititcal path)