Answer
a. $C(x)=30,000+2500x$.
b. $R(x)=3125x$.
c. $48$.
This means that you will break even when there are 48 sold-out performances.
Work Step by Step
a. We can write the cost function as $C(x)=30,000+2500x$.
b. We can write the revenue function as $R(x)=3125x$.
c. The break-even point can be found by letting
$R(x)=C(x)$ or $3125x=30,000+2500x$
which gives $x=48$.
This means that you will break even when there are 48 sold-out performances.
