Answer
Price: ${{\$}} 4.61$,
Maximum daily revenue = ${{\$}} 95,680.56$
Work Step by Step
$R=pq$
$R(p)=-4500p^{2}+41,500p$.
The graph of $R(p)$ is a parabola that opens down (leading coefficient is negative).
The vertex is the point of maximum.
$-b/(2a)=-\displaystyle \frac{41,500}{-2\times 4500}={{\$}} 4.61$
The corresponding daily revenue is
$R={{\$}} 95680.55$