A monopoly's cost function is

and its the demand for its product is

$C=1\mathrm{.}5Q^2+20Q$

$p=280-1Q$

where $Q$ is output, $p$ is price, and $C$ is the total cost of production. Determine the profit$-$maximizing price and sut for a monopoly.

The profit$-$maximizing output level is units. $($Enter a numeric response using an integer.$)$