Question: The data regarding a project is given below. Activity Predecessors Time in weeks Optimistic Most probable Pessimistic A - 3 3 3 B - 1

The data regarding a project is given below.

Activity

Predecessors

Time in weeks

Optimistic

Most probable

Pessimistic

A

-

3

3

3

B

-

1

4

7

C

-

6

7

8

D

B

3

5

7

E

A

3

6

9

F

A

6

9

12

G

B

4

6

8

H

C,D

2

4

6

I

C,D

3

5

7

J

E

2

3

4

K

F,G,H

5

8

11

L

F,G,H

3

5

7

M

I

4

6

8

N

J,K

3

5

7

  1. Draw a pert network.
  2. Find the expected duration and variance of the activity.
  3. Find the critical path and the expected project completion time.
  4. Develop an activity schedule.
  5. With how many weeks would you expect the project to be completed with 96% chance?

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