OCR MEI D2 2015 June — Question 4

Exam BoardOCR MEI
ModuleD2 (Decision Mathematics 2)
Year2015
SessionJune
TopicPolar coordinates

\(\mathbf { 4 }\) & 10 & 5 & 7 & 10
\hline \end{tabular} \end{center} \end{table} \begin{table}[h]
\captionsetup{labelformat=empty} \caption{final route matrix}
\cline { 2 - 5 } \multicolumn{1}{c|}{}\(\mathbf { 1 }\)\(\mathbf { 2 }\)\(\mathbf { 3 }\)\(\mathbf { 4 }\)
\(\mathbf { 1 }\)3333
\(\mathbf { 2 }\)3334
\(\mathbf { 3 }\)1222
\(\mathbf { 4 }\)2222
\end{table}
  1. Draw the complete network of shortest times.
  2. Explain how to use the final route matrix to find the quickest route from node \(\mathbf { 4 }\) to node \(\mathbf { 1 }\) in the original incomplete network. Give this quickest route. A new node, node 5, is added to the original incomplete network. The new journey times are shown in the table. \begin{center} \begin{tabular}{ | l | c | c | c | c | } \cline { 2 - 5 } \multicolumn{1}{c|}{} & \(\mathbf { 1 }\) & \(\mathbf { 2 }\) & \(\mathbf { 3 }\) & \(\mathbf { 4 }\)
    \hline