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

Multiple Choice

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 first row of the following matrix represents Chevy, the second row represents Honda, and the third row represents Ford.
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) . Which choice does the decision maker prefer?

A) Chevy
B) Honda
C) Ford
D) Honda and Chevy are equally preferred.