A competitor of Kozar International, Inc. has begun marketing a new instant-deve
ID: 438097 • Letter: A
Question
A competitor of Kozar International, Inc. has begun marketing a new instant-developing film project. Kozar has had a similar product under study in its R&D department but has not yet been able to begin production. Because of the competitor's action, top managers have asked for a speedup of R&D activities so that Kozar can produce and market instant film at the earliest possible date. The predecessor information and activity time estimates in months are shown in the next column. <?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /?>
Activity
Immediate Predecessors
Optimistic Time
Most Probable Time
Pessimistic Time
A
-
1
1.5
5
B
A
3
4
5
C
A
1
2
3
D
B,C
3.5
5
6.5
E
B
4
5
12
F
C,D,E
6.5
7.5
11.5
G
E
5
9
13
Project Network:
That is the best I can get the project network into this problem
<?xml:namespace prefix = v ns = "urn:schemas-microsoft-com:vml" /?>
B
G
A
D
C
F
A. Develop an activity schedule for this project using early and late start and finish times, compute activity slack time, and define the critical activities.
Activity
Immediate Predecessors
Optimistic Time
Most Probable Time
Pessimistic Time
A
-
1
1.5
5
B
A
3
4
5
C
A
1
2
3
D
B,C
3.5
5
6.5
E
B
4
5
12
F
C,D,E
6.5
7.5
11.5
G
E
5
9
13
Explanation / Answer
Using the 3-point estimates of times, we obtain:
Activity
Mean
Variance
A
2
0.44
B
4
0.11
C
2
0.11
D
5
0.25
E
6
1.78
F
8
0.69
G
9
1.78
Activity
Immediate Predecessor
Time
(days)
Earliest Start
Earliest Finish
Latest
Start
Latest Finish
Slack
A
---
2
0
2
0
2
0
B
A
4
2
6
2
6
0
C
A
2
2
4
5
7
3
D
B,C
5
6
11
7
12
1
E
B
6
6
12
6
12
0
F
C,D.E
8
12
20
12
20
0
G
F
9
20
29
20
29
0
Activity
Mean
Variance
A
2
0.44
B
4
0.11
C
2
0.11
D
5
0.25
E
6
1.78
F
8
0.69
G
9
1.78
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