The price$-$demand equation and the cost function for the production of table saws are given, respectively, by $x=12,800-32p$ and $C(x)=86,00060x,$ where $x$ is the number of saws that can be sold at a price of Sp per saw and $C(x)$ is the lotal cosst $($in dolars$)$ of producing $$ saws. Complete parts $($A$)$ through $($I$)$ below.

$($A$)$ Express the price $p$ as a function of the demand $x,$ and find the domain of this function.

The price function is $p=$