Answer
$P(x)=45x-22,500$.
Work Step by Step
The given functions are
$C(x)=22,500+40x$ and $R(x)=85x$
The profit function is the difference between the revenue function and the cost function.
$\Rightarrow P(x)=R(x)-C(x)$.
Substitute both values.
$\Rightarrow P(x)=85x-(22,500+40x)$.
Clear the parentheses.
$\Rightarrow P(x)=85x-22,500-40x$.
Add like terms.
$\Rightarrow P(x)=45x-22,500$.
Hence, the profit function is $P(x)=45x-22,500$.
