Edexcel D1 2002 June — Question 6

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2002
SessionJune
TopicCritical Path Analysis

6. \begin{figure}[h]
\captionsetup{labelformat=empty} \caption{Figure 4} \includegraphics[alt={},max width=\textwidth]{652477eb-87dc-4a5a-8514-c9be39986142-6_1083_1608_421_259}
\end{figure} A building project is modelled by the activity network shown in Fig. 4. The activities are represented by the arcs. The number in brackets on each arc gives the time, in hours, taken to complete the activity. The left box entry at each vertex is the earliest event time and the right box entry is the latest event time.
  1. Determine the critical activities and state the length of the critical path.
  2. State the total float for each non-critical activity.
  3. On the grid in the answer booklet, draw a cascade (Gantt) chart for the project. Given that each activity requires one worker,
  4. draw up a schedule to determine the minimum number of workers required to complete the project in the critical time. State the minimum number of workers.
    (3)