5 A restoration project is divided into a number of activities.
The duration and predecessor(s) of each activity are shown in the table below.
| Activity | Immediate predecessor(s) | Duration (weeks) |
| \(A\) | - | 10 |
| B | - | 5 |
| C | B | 12 |
| D | \(A\) | 8 |
| \(E\) | C, D | 4 |
| \(F\) | C, D | 3 |
| \(G\) | C, D | 7 |
| \(H\) | E, F | 8 |
| \(I\) | G | 6 |
| \(J\) | G | 15 |
| K | H, I | 5 |
| \(L\) | K | 4 |
5
- 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.
[0pt]
[4 marks]
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{21ed3b4e-a089-4607-b5d6-69d8aac03f31-09_533_289_2124_1548}
\captionsetup{labelformat=empty}
\caption{Turn over -}
\end{figure}
5 - Due to a change of materials during the project, the duration of activity \(C\) is extended by 3 weeks.
Determine the new minimum completion time of the project.
\includegraphics[max width=\textwidth, alt={}, center]{21ed3b4e-a089-4607-b5d6-69d8aac03f31-11_2488_1716_219_153}