1
Figure 1 below shows an activity diagram for a construction project. The time needed for each activity is given in days.
- Find the earliest start time and the latest finish time for each activity and insert their values on Figure 1.
- Find the critical paths and state the minimum time for completion of the project.
- On Figure 2 opposite, draw a cascade diagram (Gantt chart) for the project, assuming that each activity starts as early as possible.
- Activity \(J\) takes longer than expected so that its duration is \(x\) days, where \(x \geqslant 3\). Given that the minimum time for completion of the project is unchanged, find a further inequality relating to the maximum value of \(x\).
- \begin{figure}[h]
\captionsetup{labelformat=empty}
\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{d0902228-7041-4449-9ccb-770352ce6bef-02_910_1355_1414_411}
\end{figure} - Critical paths are \(\_\_\_\_\)
Minimum completion time is \(\_\_\_\_\) days.
\begin{figure}[h]
\captionsetup{labelformat=empty}
\caption{Figure 2}
\includegraphics[alt={},max width=\textwidth]{d0902228-7041-4449-9ccb-770352ce6bef-03_940_1160_390_520}
\end{figure} - \(\_\_\_\_\)