\begin{enumerate}
  \item A couple are making the arrangements for their wedding. They are deciding whether to have the ceremony at their church, a local castle or a nearby registry office. The reception will then be held in a marquee, at the castle or at a local hotel. Both the castle and hotel offer catering services but the couple are also considering using Deluxe Catering or Cuisine, who can both provide the food at any venue.
\end{enumerate}

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{b8eb80d5-5af5-4a8b-8335-6fae95f3aa73-1_938_1514_520_248}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{center}
\end{figure}

The network in Figure 1 shows the costs incurred (including transport), in hundreds of pounds, according to the choice the couple make for each stage of the day.

Use dynamic programming to find how the couple can minimise the total cost of their wedding and state the total cost of this arrangement.\\

\hfill \mbox{\textit{OCR D2  Q1 [7]}}