Edexcel D1 — Question 5

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
TopicCritical Path Analysis

5. This question should be answered on the sheet provided in the answer booklet. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{12f9ae59-b2ff-4a03-9ac9-c61dbaf8c9f5-006_542_1389_483_352} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure} Figure 2 shows the activity network used to model a small building project. The activities are represented by the edges and the number in brackets on each edge represents the time, in hours, taken to complete that activity.
  1. Calculate the early time and the late time for each event. Write your answers in the boxes on the answer sheet.
    (6 marks)
  2. Hence determine the critical activities and the length of the critical path.
    (2 marks)
    Each activity requires one worker. The project is to be completed in the minimum time.
  3. Schedule the activities for the minimum number of workers using the time line on the answer sheet. Ensure that you make clear the order in which each worker undertakes his activities.
    (5 marks)