Details of a PERT/CPM problem is listed in the table below. Times are given in weeks.   Activity Preceding Optimistic Time Probable Time Pessimistic Time A -- 7 9 14 B A 2 2 8 C A 8 12 16 D A 3 5 10 E B 4 6 8 F B 6 8 10 G C, F 2 3 4 H D 2 2 8 I H 6 8 16 J G, I 4 6 14 K E, J 2 2 5   Calculate the expected time & variance for each activity. Enter these values in the appropriate column in the table above.  Which activities form the critical path?                                  What is the estimated time of the critical path?  What are the project variance and the project standard deviation?              {      5.  What is the probability of completion of the project after week 40?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Details of a PERT/CPM problem is listed in the table below.

Times are given in weeks.

 

Activity

Preceding

Optimistic

Time

Probable

Time

Pessimistic

Time

A

--

7

9

14

B

A

2

2

8

C

A

8

12

16

D

A

3

5

10

E

B

4

6

8

F

B

6

8

10

G

C, F

2

3

4

H

D

2

2

8

I

H

6

8

16

J

G, I

4

6

14

K

E, J

2

2

5

 

  1. Calculate the expected time & variance for each activity. Enter these values in the appropriate column in the table above. 
  2. Which activities form the critical path?                                 
  3. What is the estimated time of the critical path? 
  4. What are the project variance and the project standard deviation?              {

     5.  What is the probability of completion of the project after week 40?          

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