Answer
$x=750, P(x)=20x-15000$
Work Step by Step
Given: $C(x)=15000+12x$ and $R(x)=32x$
After equating the given two equation, we get
$20x=15000$
or, $x=750$
Now, $P(x)=32x-(15000+12x)$
or, $P(x)=20x-15000$
Thus, $x=750, P(x)=20x-15000$