Edexcel D1 2018 June — Question 6 11 marks

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2018
SessionJune
Marks11
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCritical Path Analysis
TypeDraw cascade/Gantt chart
DifficultyModerate -0.8 This is a standard D1 critical path analysis question requiring routine application of well-practiced algorithms (forward/backward pass, identifying critical path, drawing Gantt chart). While multi-part with several marks, it involves no novel problem-solving—just methodical execution of textbook procedures that students drill extensively.
Spec7.05a Critical path analysis: activity on arc networks7.05b Forward and backward pass: earliest/latest times, critical activities7.05c Total float: calculation and interpretation

6. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6b51f3a0-0945-4254-8c63-20e1371e9e3a-07_748_1419_269_324} \captionsetup{labelformat=empty} \caption{Figure 4}
\end{figure} A project is modelled by the activity network shown in Figure 4. 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 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 the late event times.
  2. State the critical activities.
  3. Draw a cascade (Gantt) chart for this project on the grid in the answer book.
  4. 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. (You do not need to provide a schedule of the activities.)

6.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{6b51f3a0-0945-4254-8c63-20e1371e9e3a-07_748_1419_269_324}
\captionsetup{labelformat=empty}
\caption{Figure 4}
\end{center}
\end{figure}

A project is modelled by the activity network shown in Figure 4. 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 one worker. The project is to be completed in the shortest possible time.
\begin{enumerate}[label=(\alph*)]
\item Complete Diagram 1 in the answer book to show the early event times and the late event times.
\item State the critical activities.
\item Draw a cascade (Gantt) chart for this project on the grid in the answer book.
\item 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. (You do not need to provide a schedule of the activities.)
\end{enumerate}

\hfill \mbox{\textit{Edexcel D1 2018 Q6 [11]}}