6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{37435cc9-1e38-4c55-bd72-e2a1ec415ba7-08_1113_1319_169_374}
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\caption{Figure 4}
\end{figure}
A project is modelled by the activity network shown in Figure 4. The activities are represented by the arcs. The number in brackets on each arc gives the time, in days, to complete that activity. Each activity requires one worker. The project is to be completed in the shortest possible time.
- Calculate the early time and the late time for each event, using Diagram 1 in the answer book.
- On Grid 1 in the answer book, complete the cascade (Gantt) chart for this project.
- On Grid 2 in the answer book, draw a resource histogram to show the number of workers required each day when each activity begins at its earliest time.
The supervisor of the project states that only three workers are required to complete the project in the minimum time.
- Use Grid 2 to determine if the project can be completed in the minimum time by only three workers. Give reasons for your answer.