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Following data refers to gas pipe project:

Activity

Prede-cessor

Duration (Weeks)

Optimistic time, a

Most likely time, m

Pessimistic time, b

A

B

C

D

E

F

G

H

-

-

A

B

A

C, D

C, D, E

F

3

6

4

3

4

5

3

1

5

7

5

5

6

8

6

2

8

9

9

8

9

11

9

9

 

  1. Construct Project network.
  2. Find the expected duration and variance of each activity.
  3. Find the critical path and expected project completion time.
  4. What is the probability of completing the project on or before 30 weeks:              30

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