7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{22ff916a-4ba8-4e0c-9c53-e82b0aff0b98-08_860_1383_239_342}
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\caption{Figure 6}
\end{figure}
The network in Figure 6 shows the activities that need to be undertaken by a company to complete a project. Each activity is represented by an arc and the duration, in days, is shown in brackets. Each activity requires exactly one worker. The early event times and late event times are shown at each vertex.
Given that the total float on activity D is 1 day,
- find the values of \(\boldsymbol { w } , \boldsymbol { x } , \boldsymbol { y }\) and \(\boldsymbol { z }\).
- On Diagram 1 in the answer book, draw a cascade (Gantt) chart for the project.
- Use your cascade chart to determine a lower bound for the minimum number of workers needed to complete the project in the shortest possible time. You must make specific reference to times and activities.
It is decided that the company may use up to 36 days to complete the project.
- On Diagram 2 in the answer book, construct a scheduling diagram to show how the project can be completed within 36 days using as few workers as possible.
(3)