Edexcel D2 — Question 1 6 marks

Exam BoardEdexcel
ModuleD2 (Decision Mathematics 2)
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicTravelling Salesman
TypeNearest Neighbour Algorithm
DifficultyModerate -0.8 This is a straightforward application of the nearest neighbour algorithm to a small network with 5 nodes. It requires only mechanical execution of a standard algorithm with no problem-solving or insight needed, making it easier than average but not trivial since students must carefully track visited nodes and sum distances correctly.
Spec7.04c Travelling salesman upper bound: nearest neighbour method

1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4e50371b-0c1c-4b4e-b21d-60858ae160df-2_659_986_203_479} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} The network in Figure 1 shows the shortest distance by road, in kilometres, between five villages. Find the best achievable upper bound for a tour of the network, of minimum length, using the nearest neighbour algorithm.

I appreciate you sharing this, but the content you've provided appears to be incomplete or corrupted. It shows:
```
Question 1:
AnswerMarks Guidance
1G GI
HHI
```
This doesn't contain enough information for me to clean up as a mark scheme. Mark schemes typically include:
- Mark allocation codes (M1, A1, B1, etc.)
- Correct answers or working
- Guidance notes
- Mathematical notation
Could you please provide the complete mark scheme content? Once you share the full text, I'll be happy to:
1. Convert Unicode symbols to LaTeX notation
2. Preserve marking annotations
3. Format it clearly with one point per line
I appreciate you sharing this, but the content you've provided appears to be incomplete or corrupted. It shows:

```
Question 1:
1 | G | GI
H | HI
```

This doesn't contain enough information for me to clean up as a mark scheme. Mark schemes typically include:
- Mark allocation codes (M1, A1, B1, etc.)
- Correct answers or working
- Guidance notes
- Mathematical notation

Could you please provide the complete mark scheme content? Once you share the full text, I'll be happy to:
1. Convert Unicode symbols to LaTeX notation
2. Preserve marking annotations
3. Format it clearly with one point per line
1.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{4e50371b-0c1c-4b4e-b21d-60858ae160df-2_659_986_203_479}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{center}
\end{figure}

The network in Figure 1 shows the shortest distance by road, in kilometres, between five villages.

Find the best achievable upper bound for a tour of the network, of minimum length, using the nearest neighbour algorithm.\\

\hfill \mbox{\textit{Edexcel D2  Q1 [6]}}