Edexcel D1 2017 June — Question 6 11 marks

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2017
SessionJune
Marks11
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCritical Path Analysis
TypeDraw cascade/Gantt chart
DifficultyModerate -0.3 This is a standard D1 critical path analysis question requiring routine application of well-practiced algorithms (forward/backward pass, Gantt chart construction). 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]{65fb7699-4301-47d2-995d-713ee33020c8-08_848_1543_242_260} \captionsetup{labelformat=empty} \caption{Figure 6}
\end{figure} A project is modelled by the activity network shown in Figure 6. 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 the late event times.
  2. Draw a Gantt chart for the project on the grid provided in the answer book.
  3. State the activities that must be happening at time 18.5 An additional activity, P , is now included in the activity network shown in Figure 6. Activity P is immediately preceded only by activity D . No activity is dependent on the completion of activity P . Each activity still requires exactly one worker and the revised project is to be completed in the shortest possible time.
  4. Explain, briefly, whether or not the revised project can be completed in the same time as the original project if the duration of activity P is
    1. 10 days
    2. 17 days

6.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{65fb7699-4301-47d2-995d-713ee33020c8-08_848_1543_242_260}
\captionsetup{labelformat=empty}
\caption{Figure 6}
\end{center}
\end{figure}

A project is modelled by the activity network shown in Figure 6. 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.
\begin{enumerate}[label=(\alph*)]
\item Complete Diagram 1 in the answer book to show the early event times and the late event times.
\item Draw a Gantt chart for the project on the grid provided in the answer book.
\item State the activities that must be happening at time 18.5

An additional activity, P , is now included in the activity network shown in Figure 6. Activity P is immediately preceded only by activity D . No activity is dependent on the completion of activity P .

Each activity still requires exactly one worker and the revised project is to be completed in the shortest possible time.
\item Explain, briefly, whether or not the revised project can be completed in the same time as the original project if the duration of activity P is
\begin{enumerate}[label=(\roman*)]
\item 10 days
\item 17 days
\end{enumerate}\end{enumerate}

\hfill \mbox{\textit{Edexcel D1 2017 Q6 [11]}}