Consider the following information about a small project: b-1. Identify the crit
ID: 430749 • Letter: C
Question
Consider the following information about a small project:
b-1. Identify the critical path.
b-2. Identify the earliest start and finish, and slack for each task. (Leave no cells blank - be certain to enter "0" wherever required.)
Task Immediate Predecessors Earliest Start Earliest Completion
A None __________ __________
B A __________ __________
C B __________ __________
D A __________ __________
E B,D __________ __________
F C,E __________ __________
Task Immediate Successors Lastest Completion Lastest Start
F None __________ __________
E F __________ __________
D E __________ __________
C F __________ __________
B C,E __________ __________
A B,D __________ __________
c. Which of these activities should the project manager track most closely?
Task Duration Estimates ImmediatePredecessors A 2 days None B 3 days A C 2 days B D 1 day A E 4 days B & D F 10 days E & C
Explanation / Answer
The precedence diagram of activities as follows :
A
B
D
C
E
F
Th possible parallel paths and their corresponding durations as follows :
A-B-C-F = 2 + 3 + 2 + 10 = 17 days
A-B-E-F = 2 + 3 + 4 + 10 = 19 days
A-D-E-F = 2 + 1 + 4 + 10 = 17 days
Since, AB-E-F has the longest duration, it forms the critical path.
CRITICAL PATH = A-B-E-F
It is to be noted that Slack for all activities lying on critical path will be ZERO
Also to be noted ,
Slack = Late Start – Early Start = Late finish – Early Finish
Therefore ,
Slack for activities A,B,E, and F will be ZERO
Slack for activity C
= Duration A-B-E-F – Duration A-B-C-F = 19 – 17 = 2 days
Slack for activity D
= Duration A-B-E-F – Duration A-D-E-F
= 19 – 17
= 2 days
The details of Early Start ( ES ) , Late Start ( LS), Early Finish ( EF ) and Late Finish ( LF ) for each activities are presented below :
Activity
ES
LS
EF
LF
A
0
0
2
2
B
2
2
5
5
C
5
7
7
9
D
2
4
3
5
E
5
5
9
9
F
9
9
19
19
Since any delay in duration of critical path delays overall project duration by same amount, project manager must track activities on critical path most closely . Thus activities to be tracked most closely are A,B,E,F
ANSWER : A-B-E-F
A
B
D
C
E
F
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