2.
\begin{figure}[h]
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\caption{Figure 1}
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A project is modelled by the activity network shown in Figure 1. The activities are represented by the arcs. The number in brackets on each arc gives the time, in hours, to complete the corresponding activity. Each activity requires one worker. The project is to be completed in the shortest possible time.
- Complete the precedence table in the answer book.
- Complete Diagram 1 in the answer book to show the early event times and the late event times.
- State the minimum project completion time.
- List the critical activities.
- Calculate the maximum number of hours by which activity H could be delayed without affecting the shortest possible completion time of the project. You must make the numbers used in your calculation clear.
- Calculate a lower bound for the number of workers needed to complete the project in the minimum time. You must show your working.
- Draw a cascade chart for this project on Grid 1 in the answer book.
- Using the answer to (f), explain why it is not possible to complete the project in the shortest possible time using the number of workers found in (e).