Answer
If demand is a linear function with negative slope,
$q=mp+b$ (with $m<0$),
the revenue, $R=pq$, becomes
$R=mp^{2}+bp$
and its graph is a parabola that is concave down.
This parabola has maximum at the vertex.
The parabola has only ONE vertex, that is, only value of p for which R achieves maximum value.
Work Step by Step
No steps involved. The answer contains the needed explanations.