7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{00abfcc0-63b3-4784-a4b5-06aba234068c-8_980_1577_229_268}
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\caption{Figure 4
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[The sum of all the activity durations is 99 days]}
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The network in Figure 4 shows the activities that need to be undertaken to complete a project. Each activity is represented by an arc and the duration of the activity, in days, is shown in brackets. The early event times and late event times are to be shown at each vertex and some have been completed for you.
Given that activity F is a critical activity and that the total float on activity G is 2 days,
- write down the value of \(x\) and the value of \(y\),
- calculate the missing early event times and late event times and hence complete Diagram 1 in your answer book.
Each activity requires one worker and the project must be completed in the shortest possible time.
- Calculate a lower bound for the number of workers needed to complete the project in the shortest possible time.
- Draw a cascade (Gantt) chart for this project on Grid 1 in the answer book.
- Use your cascade chart to determine the minimum number of workers needed to complete the project in the shortest possible time. You must make specific reference to times and activities. (You do not need to provide a schedule of the activities.)