Question: The table below shows three time estimates for a series of activities to be carried out in one of the electrical workshops at your institution.

The table below shows three time estimates for a series of activities to be carried out in one of the electrical workshops at your institution.

Task

Estimated task times for works to be completed (weeks)

Optimistic duration

Most likely duration

Pessimistic duration

A-B

4

6

7

A-J

1

2

3

B-C

8

12

14

B-D

1

2

3

C-E

3

4

5

C -F

6

8

9

D-F

1

2

3

E-H

2

3

4

F-G

1

2

3

F-H

7

10

12

F-J

1

2

3

G-I

1

2

3

H-L

17

20

21

I-K

2

3

4

J-L

4

5

6

K-L

1

2

3

  1. Using an Activity on Arrow (AoA) approach, develop a logic network showing the activity durations, means earliest start and latest completion times for each activity
  2. Identify different paths, including the critical path and the estimated overall mean duration for the wiring work.
  3. Calculate the probability of the wiring work package being completed by week 20.

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