Eagle Electronics must expand by building a second facility. The search has been narrowed down to locating the new facility in one of four$$ cities: Ajax$($A$),$ Burlington$($B$),$ Canmore$($C$),$ or Dalhousie$($D$).$ The$$ factors, scores, and weights$$ follow:

$$

Scores by Site

i

Factor

Weight $($W Subscript i$)$

Upper A

Upper B

Upper C

Upper D

$1$

Labour quality

$20$

$5$

$4$

$4$

$5$

$2$

Quality of life

$16$

$2$

$3$

$4$

$1$

$3$

Transportation

$16$

$3$

$4$

$3$

$2$

$4$

Proximity to markets

$14$

$5$

$3$

$4$

$4$

$5$

Proximity to suppliers

$12$

$2$

$3$

$3$

$4$

$6$

Taxes

$12$

$2$

$5$

$5$

$4$

$7$

Energy Supplies

$10$

$5$

$4$

$3$

$3$

Part $2$

$$a$)$ Based on the given$$ information, using the$$ factor$-$rating method, the best site for Eagle$$ Electronics's new facility is

$$

B

C

D

A

$,$ with a total weighted score of

$$

enter your response here $($enter your response as a whole$$ number$).$

Part $3$

$$b$)$ For what range of values for the weight$($currently w $7$equals$10)$ does the site given as the answer to part$($a$)$ remain a

recommended$$ site?

w $7$less than or equals

$$

enter your response here $($round your response to two decimal$$ places$).$