1 Figure 2, on the page opposite, shows an activity diagram for a project. Each activity requires one worker. The duration required for each activity is given in hours.
- On Figure 1 below, complete the precedence table.
- Find the earliest start time and the latest finish time for each activity and insert their values on Figure 2.
- List the critical paths.
- Find the float time of activity \(E\).
- Using Figure 3 opposite, draw a Gantt diagram to illustrate how the project can be completed in the minimum time, assuming that each activity is to start as early as possible.
- Given that there is only one worker available for the project, find the minimum completion time for the project.
- Given that there are two workers available for the project, find the minimum completion time for the project. Show a suitable allocation of tasks to the two workers.
[0pt]
[2 marks]
\begin{table}[h]
\captionsetup{labelformat=empty}
\caption{Figure 1}
| Activity | Immediate predecessor(s) |
| A | |
| B | |
| C | |
| D | |
| E | |
| \(F\) | |
| G | |
| \(H\) | |
| I | |
| J | |
\captionsetup{labelformat=empty}
\caption{Figure 2}
\includegraphics[alt={},max width=\textwidth]{b0f9523e-51dd-495f-99ec-4724243b5619-03_1071_1561_376_278}
\end{figure}
\begin{figure}[h]
\captionsetup{labelformat=empty}
\caption{Figure 3}
\includegraphics[alt={},max width=\textwidth]{b0f9523e-51dd-495f-99ec-4724243b5619-03_801_1301_1644_420}
\end{figure}