Edexcel D1 2001 June — Question 1 5 marks

Exam BoardEdexcel
ModuleD1 (Decision Mathematics 1)
Year2001
SessionJune
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCritical Path Analysis
TypeDraw activity network from table
DifficultyEasy -1.3 This is a straightforward application of a standard D1 algorithm requiring only direct translation of a precedence table into an activity network diagram. No problem-solving, optimization, or novel insight is needed—just mechanical application of learned rules for drawing activity-on-arc networks, making it easier than average.
Spec7.05a Critical path analysis: activity on arc networks

  1. The precedence table for activities involved in a small project is shown below
ActivityPreceding Activities
\(A\)-
\(B\)-
\(C\)-
\(D\)\(B\)
\(E\)\(A\)
\(F\)\(A\)
\(G\)\(B\)
\(H\)\(C , D\)
\(I\)\(E\)
\(J\)\(E\)
\(K\)\(F , G , I\)
\(L\)\(H , J , K\)
Draw an activity network, using activity on edge and without using dummies, to model this project.
(5)

\begin{enumerate}
  \item The precedence table for activities involved in a small project is shown below
\end{enumerate}

\begin{center}
\begin{tabular}{ | c | c | }
\hline
Activity & Preceding Activities \\
\hline
$A$ & - \\
\hline
$B$ & - \\
\hline
$C$ & - \\
\hline
$D$ & $B$ \\
\hline
$E$ & $A$ \\
\hline
$F$ & $A$ \\
\hline
$G$ & $B$ \\
\hline
$H$ & $C , D$ \\
\hline
$I$ & $E$ \\
\hline
$J$ & $E$ \\
\hline
$K$ & $F , G , I$ \\
\hline
$L$ & $H , J , K$ \\
\hline
\end{tabular}
\end{center}

Draw an activity network, using activity on edge and without using dummies, to model this project.\\
(5)\\

\hfill \mbox{\textit{Edexcel D1 2001 Q1 [5]}}