Robert, a project manager, and his team of builders are working on a small building project.
Robert has divided the project into ten activities labelled \(A\), \(B\), \(C\), \(D\), \(E\), \(F\), \(G\), \(H\), \(I\) and \(J\) as shown in the precedence table below:
| Activity | Immediate Predecessor(s) | Duration (Days) |
| \(A\) | None | 1 |
| \(B\) | None | 1 |
| \(C\) | \(A\) | 10 |
| \(D\) | \(A\) | 2 |
| \(E\) | \(B, D\) | 5 |
| \(F\) | \(E\) | 6 |
| \(G\) | \(E\) | 1 |
| \(H\) | \(F\) | 1 |
| \(I\) | \(F\) | 2 |
| \(J\) | \(C, G, H, I\) | 4 |
- On the opposite page, construct an activity network for the project and fill in the earliest start time and latest finish time for each activity.
[4 marks]
- Robert claims that the project can be completed in 20 days.
Comment on the validity of Robert's claim.
[2 marks]