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.

Score $($on a $5-$point scale$)$

Factor Weight Location $1$ location $2$ Location $3$

Proximity to customers $40\%544$

Proximity to competition $5\%425$

Proximity to labor supply $25\%154$

Transportation system $20\%533$

Quality of life $10\%354$

a$.$ Which location should be selected?

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