2.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{d3f5dcb4-3e23-4d78-965a-a1acaac13819-03_885_1493_226_287}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{center}
\end{figure}

A project is modelled by the activity network shown in Figure 1. The activities are represented by the arcs. The number in brackets on each arc gives the time, in hours, to complete the corresponding activity. The exact duration, $x$, of activity N is unknown, but it is given that $5 < x < 10$

Each activity requires one worker. The project is to be completed in the shortest possible time.
\begin{enumerate}[label=(\alph*)]
\item Complete the precedence table in the answer book.
\item Complete Diagram 1 in the answer book to show the early event times and the late event times.
\item List the critical activities.

It is given that activity J can be delayed by up to 4 hours without affecting the shortest possible completion time of the project.
\item Determine the value of $x$. You must make the numbers used in your calculation clear.
\item Draw a cascade chart for this project on Grid 1 in the answer book.
\end{enumerate}

\hfill \mbox{\textit{Edexcel FD1 AS 2021 Q2 [12]}}