The following information is known about a project to upgrade a? point-of-sale s
ID: 333282 • Letter: T
Question
The following information is known about a project to upgrade a? point-of-sale system at Kids and Tots? Apparel:
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Activity
?(dayday?s)
Immediate? Predecessor(s)
A
88
—
B
11
A
C
55
A
D
55
?B, C
E
55
D
F
22
E
G
88
E
The critical path is path is A-C-D-E-G and the project duration is 31 days.
c. Calculate the slack for each activity.
?(Enter your responses as integers?.)
Slack
?(day?s)
Activity
A
nothing
B
nothing
C
nothing
D
nothing
E
nothing
F
nothing
G
nothing
Activity
Activity Time?(dayday?s)
Immediate? Predecessor(s)
A
88
—
B
11
A
C
55
A
D
55
?B, C
E
55
D
F
22
E
G
88
E
Explanation / Answer
The precedence diagram of activities as follows /:
A
B
C
D
E
F
G
The possible paths and their corresponding durations as follows :
Path A-B-D-E-F = 88 + 11 + 55 + 55 + 22 = 231
Path A-B-D-E-G = 88 + 11 + 55 + 55 + 88 = 297
A-C-D-E-F = 88 + 55 + 55 + 55 + 22 = 275
Path A-C-D-E-G = 88 +55+ 55 + 55 + 88 = 341
Since A-C-D-E-G has the longest duration, it forms the critical path. Therefore , project duration = Duration of critical oath = 341
Slack for each activity is difference between Early Start time and Late start time or Difference between Early finish time and Late Finish time .
It is to be noted that all activities lying on critical path will have ZERO Slack.
Therefore , Slack for activities A, C, D,E and G will have ZERO sack
Slack for activity F = Duration of A-C-D-E-G – Duration A-C-D-E-F = 341 – 275 = 66
Slack for activity B = Duration A-C-D-E-G- duration A-B-D-E-G = 341 – 297 = 44
ACTIVITY
SLACK ( DAYS)
A
0
B
44
C
0
D
0
E
0
F
66
G
0
A
B
C
D
E
F
G
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