Cost-volume-profit relationship

Casey Corporation manufactures faucets. The variable costs of production are $30 per faucet. Fixed costs of production are $900,000. Casey sells the faucets for a price of $75 per unit.

Required

1. How many faucets must Casey make and sell to break even?
2. How many faucets must Casey make and sell to earn a $270,000 profit?
3. The marketing manager believes that sales would increase dramatically if the price were reduced to $66 per unit. How many faucets must Casey make and sell to earn a $270,000 profit, assuming the sales price is set at $66 per unit?