# Consider the following data for a project never before attempted by your company. a) Draw the network diagram for this project b) Identify the critical path and estimate the project’s duration c) Calculate the slack for each activity Activity Expected Time(weeks) Immediate Predecessor(s) A 5 B 3 C 2 A D 5 B E 4 C,D F 7 D

The Precedence diagram of the project as follows:
A
B
C
D
E
F
The possible paths and their corresponding durations as follows :
A-C-E = 5 + 2 + 4 = 13 weeks
B-D-E = 3 + 5 + 4 = 12 weeks
B-D-F = 3 + 5 + 7 = 15 weeks
Since , B-D-F has the longest duration, it forms the CRITICAL PATH
The estimated project duration ( which is same as duration of critical path ) = 15 weeks
It is to be noted that all activities on Critical path have ZERO slack.
Therefore , activities B/D/F have ZERO slack
Slack of activity E = Duration of B-D-F – Duration of B-D-E = 15 – 12 = 3 weeks
Slack of activity A, C = Duration of A-C-E – Duration of B-D-E = 15 – 13 = 2 weeks
ACTIVITY
SLACK ( WEEKS )
A
2
B
0
C
2
D
0
E
3
F
0

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