Omar Corporation manufactures faucets. The variable cost of production are $37 per faucet. Fix cost of production are $876,000. Omar sells the faucets for a price of $61 per unit.

a) How many faucets must Omar make and sell to break even?

b) How many faucets must Omar make and sell to earn a $225,000 profit

c) The marketing manager believes that sales would increase dramatically if the price were reduced to sell $57 per unit. How many faucets must Omar make and sell to earn a $225,000 profit, assuming the sales price is set at $57 per unit?