Dalton Corporation manufactures faucets. The variable costs of production are $27 per faucet. Fixed costs of production are $600,000. Dalton sells the faucets for a price of $52 per unit.Requireda. How many faucets must Dalton make and sell to break even?b. How many faucets must Dalton make and sell to earn a $180,000 profit?c. The marketing manager believes that sales would increase dramatically if the price were reduced to $47 per unit. How many faucets must Dalton make and sell to earn a $180,000 profit, assuming the sales price is set at $47 per unit?