Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate the $x-$value at which each extremum occurs. If no interval is specified, use the real numbers, $(-,).$

$f(x)=-0\mathrm{.}001x^2+4\mathrm{.}6x-10$

Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.

A$.$ The absolute maximum is $$ at $x=$ and the absolute minimum is $$ at $x=.$

$($Use a comma to separate answers as needed.$)$

B$.$ The absolute minimum is $$ at $x=$ and there is no absolute maximum.

$($Use a comma to separate answers as needed.$)$

C$.$ The absolute maximum is at $x=$ and there is no absolute minimum.

$($Use a comma to separate answers as needed.$)$