$-..\mathrm{.}8\mathrm{.}24$ Eagle Electronics must expand by building a second facility. The search has been narrowed down to locating the new facility in one of four cities: Atlanta $($A$),$ Baltimore $($B$),$ Chicago $($C$),$ or Dallas $($D$).$ The factors, scores, and weights follow:

$\backslash$table$[[,$SCORES BY SITE$],[$I$,$FACTOR,WEIGHT $(W_{?}).,$A$,$B$,$C$,$D$],[1,$Labor quality,$20,5,4,4,5],[2,$Quality of life,$16,2,3,4,1],[3,$Transportation,$16,3,4,3,2],[4,\backslash$table$[[$Proximity to$],[$markets$]],14,5,3,4,4],[5,\backslash$table$[[$Proximity to$],[$suppliers$]],12,2,3,3,4],[6,$Taxes,$12,2,5,5,4],[7,$Energy supplies,$10,5,4,3,3]]$

a$)$ Using the factor$-$rating method, what is the recommended site for Eagle Electronics's new facility?

b$)$ For what range of values for the weight $($currently $w_7=10)$ does the site given as the answer to part $($a$)$ remain a recommended site?