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The network diagram for a project is shown in the accompanying figures in table 2 below, with three time estimates for each activity. Activity time

  1. The network diagram for a project is shown in the accompanying figures in table 2 below, with three time estimates for each activity. Activity time are in a weeks. Do the following:

Table 2

Activity

Optimistic time (a)

Most likely (m)

Pessimistic time (b)

Immediate Predecessor(s)

A

3

6

8

-

B

2

4

4

-

C

1

2

3

-

D

6

7

8

C

E

2

4

6

B,D

F

6

10

24

A,E

G

1

2

4

A,E

H

3

6

9

F

I

10

11

12

G

J

14

16

20

C

K

2

8

10

H,I

  1. Compute the expected time for each activity and the expected duration for each path.
  2. Identify the critical path
  3. Compute the variance of each activity and the standard deviation of each path.

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