Answer
32,400 dollars
Work Step by Step
$P(x)=360x-x^2$
$P(x)=-x^2+360x$
Since the graph opens downward, the vertex will have the highest point on the graph.
$a=-1$, $b=360$, $c=0$
Vertex: $x=-b/2a$
$x=-360/2*-1$
$x=-360/-2$
$x=180$
180 calendars
$P(x)=360x-x^2$
$P(180)=360*180-180^2$
$P(180)=64800-32400$
$P(180)=32400$
32,400 dollars
