Edexcel D1 2010 June — Question 8

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2010
SessionJune
TopicCritical Path Analysis

8. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{50925a06-9a9b-4e50-869a-2dce6680615c-10_723_1244_239_408} \captionsetup{labelformat=empty} \caption{Figure 7}
\end{figure} A project is modelled by the activity network shown in Figure 7. The activities are represented by the arcs. The number in brackets on each arc gives the time, in days, to complete the activity. Each activity requires one worker. The project is to be completed in the shortest possible time.
  1. Complete Diagram 2 in the answer book to show the early and late event times.
  2. State the critical activities.
  3. On Grid 1 in the answer book, draw a cascade (Gantt) chart for this project.
  4. Use your cascade chart to determine a lower bound for the number of workers needed. You must justify your answer.