6. The precedence table below shows the 12 activities required to complete a project.
| Activity | Immediately preceding activities |
| A | - |
| B | - |
| C | - |
| D | A |
| E | A, B, C |
| F | A, B, C |
| G | C |
| H | D, E |
| I | D, E |
| J | D, E |
| K | F, G, J |
| L | F, G |
- Draw the activity network described in the precedence table, using activity on arc.
Your activity network must contain the minimum number of dummies only.
(5)
Each of the activities shown in the precedence table requires one worker. The project is to be completed in the minimum possible time.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{7f7546eb-0c1a-40da-bdf0-31e0574a9867-11_303_1547_296_260}
\captionsetup{labelformat=empty}
\caption{Figure 3}
\end{figure}
Figure 3 shows a schedule for the project using three workers. - State the critical path for the network.
- State the minimum completion time for the project.
- Calculate the total float on activity B.
- Calculate the total float on activity G.
Immediately after the start of the project, it is found that the duration of activity I, as shown in Figure 3, is incorrect. In fact, activity I will take 8 hours.
The durations of all the other activities remain as shown in Figure 3.
- Determine whether the project can still be completed in the minimum completion time using only three workers when the duration of activity I is 8 hours. Your answer must make specific reference to workers, times and activities.