Like Many High School Seniors, Anne Has Several Universities to Consider

Essay

Like many high school seniors, Anne has several universities to consider when making her final college choice. To assist in her decision, she has decided to use AHP to develop a ranking for school R, school P, and school M. The schools will be evaluated on five criteria, and Anne's pair-wise comparison matrix for the criteria is shown below. $$\begin{array} { c | c c c c c } & \text { Distance } & \text { Program } & \text { Size } & \text { Campus Climate } & \text { Cost } \\\hline \text { Distance } & 1 & 1 / 4 & 2 & 3 & 4 \\\text { Program } & 4 & 1 & 4 & 5 & 6 \\\text { Size } & 1 / 2 & 1 / 4 & 1 & 3 & 3 \\\text { Climate } & 1 / 3 & 1 / 5 & 1 / 3 & 1 & 2 \\\text { Cost } & 1 / 4 & 1 / 6 & 1 / 3 & 1 / 2 & 1\end{array}$$ The universities' pair-wise comparisons on the criteria are shown below. $\begin{array} { l }\begin{array} { l }\text { Distance }\\R\\P\\M\end{array}&\begin{array} {| l }R&P&M\\\hline 1&2&3\\1/2&1&3/2\\1/3&2/3&1\end{array}\end{array}$

$\begin{array} { l }\begin{array} { l }\text { programs }\\R\\P\\M\end{array}&\begin{array} {| l }R&P&M\\\hline 1&1/2&1\\2&1&2\\1&1/2&1\end{array}\end{array}$

$\begin{array} { l }\begin{array} { l }\text { Size }\\R\\P\\M\end{array}&\begin{array} {| l }R&P&M\\\hline 1&4&2\\1/4&1&1/2\\1/2&2&1\end{array}\end{array}$

$\begin{array} { l }\begin{array} { l }\text { Climate }\\R\\P\\M\end{array}&\begin{array} {| l }R&P&M\\\hline 1&1&3\\1&1&3\\1/3&1/3&1\end{array}\end{array}$

$\begin{array} { l }\begin{array} { l }\text { Cost }\\R\\P\\M\end{array}&\begin{array} {| l }R&P&M\\\hline 1&1/5&1\\5&1&5\\1&1/5&1\end{array}\end{array}$

a.What is the overall ranking of the five criteria?
b.What is the overall ranking of the three universities?