A project consists of seven activities whose time estimates are given in the table below:

Activity Estimated Duration (in days)

- Optimistic Most Likely Pessimistic

1-2 4 10 16

1-3 3 6 9

1-4 4 7 16

2-5 5 5 5

3-5 8 11 32

4-6 4 10 16

5-6 2 5 8

a) Find the critical path of the project

b) Calculate the planned duration of the project.