Problem $1$

A restaurant chain is considering opening a new location. It has considered many factors and identified the ones that are most important. Three locations are being evaluated based on these factors. Each location has been evaluated on these factors, using a $5-$point scale $(1-$least favorable; $5-$most favorable$).$ The weights used reflect the importance of each factor and are between $0\%$ and $100\%.$ The data are shown in the following table.

$\backslash$table$[[,$Factor,Score $($on a $5-$point scale$)],[,$Localion $1,$location $2,$Location $3],[$Proximity to customers,$5,4,4],[$Proximity to competition,$5\%,4,2,5],[$Proximity to labor supply,$25\%,1,5,4],[$Transportation system,$20\%,5,3,3],[$Quality of life,$10\%,3,5,4]]$

a$.$ Which location should be selected?

b$.$ What would be the decision if the factors are equally likely?

please show all work!