A new hotel chain is considering three different locations for a location. They have identified the six factors listed in the following table as the basis for evaluation, and have assigned weights as shown on the left. The manager has rated each location on each factor, on a $100-$point basis, as shown in the table.

FACTOR WEIGHT A B C D E

Climate $0\mathrm{.}137886729085$

Taxes $0\mathrm{.}29072779190$

Airport $0\mathrm{.}188586909095$

Labor $0\mathrm{.}218594868075$

Competition $0\mathrm{.}179099898185$

Population $0\mathrm{.}118496857590$

What is the score for Location A$?$

Group of answer choices

$83\mathrm{.}5$

$86\mathrm{.}25$

$88\mathrm{.}19$

$84\mathrm{.}92$

$85\mathrm{.}83$