Activity a b Immediate Remarks m predeccessor A a = optimistic time 1 3 3 4 m = most likely time C 4 5 6. A b = pessimistic time D 8 9. 10 E 5 8 C,D 5 В G 3 E (a) Develop a project network for this problem. 6. 2. 2. 4. B.

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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A project has seven (7) main activities labelled A through G as shown in the
below table which also shows their estimated duration times ( in weeks)
and immediate predecessors.
Activity a
b
Immediate
Remarks
m
predeccessor
A
a = optimistic time
1
3
3
4
m = most likely time
C
4
5
A
b = pessimistic time
D
8
9.
10
В
E
2
8
C,D
F
4
В
G
1
3
E
(a) Develop a project network for this problem.
(b) Determine the expected duration and variance for each activity.
(c) Determine the ES, EF, LS, LF, and slack time for each activity.
(d) Determine the total project completion time and critical path(s).
(e) Determine probability of the project completion more than 20 weeks
2.
B.
Transcribed Image Text:A project has seven (7) main activities labelled A through G as shown in the below table which also shows their estimated duration times ( in weeks) and immediate predecessors. Activity a b Immediate Remarks m predeccessor A a = optimistic time 1 3 3 4 m = most likely time C 4 5 A b = pessimistic time D 8 9. 10 В E 2 8 C,D F 4 В G 1 3 E (a) Develop a project network for this problem. (b) Determine the expected duration and variance for each activity. (c) Determine the ES, EF, LS, LF, and slack time for each activity. (d) Determine the total project completion time and critical path(s). (e) Determine probability of the project completion more than 20 weeks 2. B.
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