Edexcel D1 2017 June — Question 4

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2017
SessionJune
TopicCritical Path Analysis

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{39bbf9e2-efa7-4f3e-a22d-227f83184abd-05_739_1490_239_276} \captionsetup{labelformat=empty} \caption{Figure 3}
\end{figure} A project is modelled by the activity network shown in Figure 3. The activities are represented by the arcs. The number in brackets on each arc gives the time, in days, to complete the corresponding activity. Each activity requires exactly one worker. The project is to be completed in the shortest possible time.
  1. Complete Diagram 1 in the answer book to show the early event times and late event times.
  2. Determine the critical activities and the length of the critical path.
  3. Calculate the total float for activity D. You must make the numbers you use in your calculation clear.
  4. Draw a cascade (Gantt) chart for this project on Grid 1 in the answer book.
  5. 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.