A car sharing service offers a membership plan with a $$50$ per month fee that includes $10$ hours of driving each month and charges $$10$ for each additional hour. Complete parts $($A$)$ through $($C$).$

$($C$)$ Find $\underset{x{10}^{-}}{lim}F(x),\underset{x{10}^{+}}{lim}F(x),$ and $\underset{x10}{lim}F(x),$ whichever exist.

Find $\underset{?}{lim}F(x).$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

$x{10}^{-}$

A$.\underset{x{10}^{-}}{lim}F(x)=$$ $($Type an integer or a decimal$)$

B$.$ The limit does not exist.