Answer
$48$
Work Step by Step
Step 1. Assume we need $x$ number of sold-out performances.
Step 2. The total cost is given by $C=30000+2500x$
Step 3. The total income is given by $I=3125x$
Step 4. To get the break-even point, let $C=I$, we have $3125x=30000+2500x$ which gives $x=48$
