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Following table shows the activities, their interdependence and the duration
Activity A B C D E F G H K L M
Preceding activity - - - A B B C C F G H,K,L
Duration (days) 3 3 3 18 4 15 8 11 7 5 7

a) Draw a A-O-A network
b) Work out all activity times and floats
c) Identify the critical path and the project duration.

1 Answer
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Ans:

Starting Activity : A, B, C

Ending Activity : D, E, M

enter image description here

Critical Path:

1) 1-3-8-B+E=3+4 = 7 Days

2) 1-3-5-7-8-B+F+K+M=3+15+7+7 =32 Days

$\therefore$ Critical Path is 1-3-5-7-8

and Critical ctivity are B.f. K-m

Activity Predecessor Duration EST EFT LST LFT TF FF Ind F(T.F-F.F) I.F
A - 3 0 3 11 14 11 00 11 00
B - 3 0 3 0 3 0 00 0 0
C - 3 0 3 9 12 9 00 0 0
D A 18 3 21 14 32 11 011 0 0
E B 4 3 7 28 32 25 025 0 25
F B 15 3 18 3 18 0 00 0 0
G C 8 3 11 12 20 9 00 9 -9
H C 11 3 14 14 25 11 011 0 2
K F 7 18 25 18 25 0 00 0 0
L G 5 11 16 20 25 9 09 0 0
M H,K,L 7 25 32 25 32 0 00 0 0

1) $EFT = EST + duration$

2) $LST = LFT - duration$

3) $T.F = LFT - EFT \ or \ LST - EST$

4) $F.F$ = enter image description here

= $3-0-3=0$

5) $Ind.\ F = T.F- F.F$

6)$ I.F = From \ dia : 3-0-3 = 0$

enter image description here

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