The price (in dollars) $p$ and the quantity demanded $q$ are related by the equation: $p^2+2q^2 =1100$.
If $R$ is revenue, $\frac{dR}{dt}$ can be expressed by the following equation: $\frac{dR}{dt}=A\frac{dp}{dt}$,
where $A$ is a function of just $q$.

$A =$

Find $\frac{dR}{dt}$ when $q=5$ and $\frac{dp}{dt}=4$.
$\frac{dR}{dt} =$