A company using a weighted$-$criteria evaluation system has established these $5$ categories and the appropriate weight in parentheses:

$$Quality $(0\mathrm{.}25)$Responsiveness $(0\mathrm{.}10)$Delivery $(0\mathrm{.}15)$Cost $(0\mathrm{.}15)$Technology $(0\mathrm{.}30)$

Company X received the following ratings in each of the five categories: Quality$(90),$ Responsiveness$(90),$ Delivery$(80),$ Cost$(80),$ Technology$(85).$ What is its total score?

a$.$

$83\mathrm{.}0$

b$.$

$81\mathrm{.}0$

c$.$

$82\mathrm{.}5$

d$.$

$84\mathrm{.}5$