A partially solved PERT problem is detailed in the table below. Times are given in weeks. Activity Preceding Optimistic Time Probable | Pessimistic Expected Time Variance Time Time A 7 14 9.5 1.361 -- B A 8 3 C A 12 16 12 D A 3 5 10 7.166 1.361 E B 4 6 8 6 F B 8 10 8 G C,F D 2 3 4 3 H 2 2 3 1.000 I H 8 16 8.333 2.778 G,I Е, J J 4 14 7 2.778 K 2 2.666 0.250 a. Calculate the expected time for each activity. Enter these values in the appropriate column in the table above b. Which activities form the critical path? c. What is the estimated time of the critical path? d. What are the project variance and the project standard deviation? e. What is the probability of completion of the project before week 40?

Practical Management Science
6th Edition
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A partially solved PERT problem is detailed in the table below. Times are given in weeks.
Activity
Preceding Optimistic Probable Pessimistic Expected
Variance
Time
Time
Time
Time
А
7
14
9.5
1.361
--
B
A
2
8
3
A
8
12
16
12
A
3
5
10
7.166
1.361
E
В
4
6
8
6
F
В
8
10
8
G
С, F
2
3
4
3
H
D
2
2
8
3
1.000
I
H
8
16
8.333
2.778
G, I
Е, J
J
4
6.
14
7
2.778
K
2
2
2.666
0.250
a. Calculate the expected time for each activity. Enter these values in the appropriate column in
the table above
b. Which activities form the critical path?
c. What is the estimated time of the critical path?
d. What are the project variance and the project standard deviation?
e. What is the probability of completion of the project before week 40?
Transcribed Image Text:A partially solved PERT problem is detailed in the table below. Times are given in weeks. Activity Preceding Optimistic Probable Pessimistic Expected Variance Time Time Time Time А 7 14 9.5 1.361 -- B A 2 8 3 A 8 12 16 12 A 3 5 10 7.166 1.361 E В 4 6 8 6 F В 8 10 8 G С, F 2 3 4 3 H D 2 2 8 3 1.000 I H 8 16 8.333 2.778 G, I Е, J J 4 6. 14 7 2.778 K 2 2 2.666 0.250 a. Calculate the expected time for each activity. Enter these values in the appropriate column in the table above b. Which activities form the critical path? c. What is the estimated time of the critical path? d. What are the project variance and the project standard deviation? e. What is the probability of completion of the project before week 40?
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