Consider the following table, based on a factor rating approach. What must be the score given to Alternative $2$ for the factor of Size $($labeled x in the table$),$ if the total composite score is $82?$ 

Factor

Weight

Alternative $1$

Alternative $2$

Traffic Volume

$0\mathrm{.}1$

$100$

$60$

Monthly Rent

$0\mathrm{.}05$

$80$

$85$

Parking Spots

$0\mathrm{.}4$

$75$

$92$

Building Aesthetics

$0\mathrm{.}1$

$85$

$80$

Size

$0\mathrm{.}35$

$50$

x

Total

$70$

$82$