Producing a musical costs $88,000 plus $5900 per performance. one sold out performance earns $7500 in revenue. if every performance sells out, how many performances are needed to break even?

X = # of perfomances

y = total amount of money

Income: y = 7500x

Expense: y = 5900x + 88000

Substitution:

7500x = 5900x + 88000

1600x = 88000

x = 55

y = 7500(55) = $412,500

55 performances are needed to break-even.