3.
| Activity | Time taken (days) | Immediately preceding activities |
| A | 5 | - |
| B | 8 | - |
| C | 4 | - |
| D | 14 | A |
| E | 10 | A |
| F | 3 | B, C, E |
| G | 7 | C |
| H | 5 | D, F, G |
| I | 7 | H |
| J | 9 | H |
The table above shows the activities required for the completion of a building project. For each activity, the table shows the time it takes, in days, and the immediately preceding activities. Each activity requires one worker. The project is to be completed in the shortest possible time.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{3e853c6d-e90e-4a09-b990-1c2c146b54e1-4_486_1161_1194_551}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a partially completed activity network used to model the project. The activities are represented by the arcs and the number in brackets on each arc is the time taken, in days, to complete the corresponding activity.
- Add the missing activities and necessary dummies to Diagram 1 in the answer book.
- Complete Diagram 1 in the answer book to show the early event times and the late event times.
- State the critical activities.
At the beginning of the project it is decided that activity G is no longer required.
- Explain what effect, if any, this will have on
- the shortest completion time of the project if activity G is no longer required,
- the timing of the remaining activities.