7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{be646775-535e-4105-86b4-ffc7eda4fa51-7_769_1385_262_342}
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\caption{Figure 6}
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The network in Figure 6 shows the activities that need to be undertaken to complete a building project. Each activity is represented by an arc. The number in brackets is the duration of the activity in days. The early and late event times are shown at each vertex.
- Find the values of \(v , w , x , y\) and \(z\).
- List the critical activities.
- Calculate the total float on each of activities H and J .
- Draw a cascade (Gantt) chart for the project.
The engineer in charge of the project visits the site at midday on day 8 and sees that activity E has not yet been started.
- Determine if the project can still be completed on time. You must explain your answer.
Given that each activity requires one worker and that the project must be completed in 35 days,
- use your cascade chart to determine a lower bound for the number of workers needed. You must justify your answer.