Assume That a Decision Maker Has to Make a Choice $\left[ \begin{array} { l } .3 \\.5 \\.2\end{array} \right]$

Short Answer

Assume that a decision maker has to make a choice between three types of cars. Chevy, Honda, and Ford. Based on three criteria: comfort, MPG, and style.
The row averages for criteria is summarized in the following column vector: $\left[ \begin{array} { l } .3 \\.5 \\.2\end{array} \right]$
The preference matrix for the three types of cars is given as follows: $\left[ \begin{array} { l l l } .5 & .2 & .2 \\.3 & .7 & .2 \\.2 & .1 & .6\end{array} \right]$
Compute the overall score for each decision alternative (car).