Answer
a. $P(x)= 20x-10,000$
b. $390,000$ dollars.
Work Step by Step
a. We are given the formulas $R(x)=50x$ and $C(x)=10000+30x$
The profit function can be written as
$P(x)=R(x)-C(x)=50x-10,000-30x=20x-10,000$
b. For $x=20,000$:
$P(20,000)=20(20,000)-10,000=390,000$ dollars.
