Zachary Corporation is a manufacturing company that makes small electric motors it sells for $$49$ per unit. The variable costs of

production are $$25$ per motor, and annual fixed costs of production are $$528,000.$

Required

a$.$ How many units of product must Zachary make and sell to break even?

b$.$ How many units of product must Zachary make and sell to earn a $$72,000$ profit?

c$.$ The marketing manager believes that sales would increase dramatically if the price were reduced to $$45$ per unit. How many units

of product must Zachary make and sell to earn a $$93,600$ profit, if the sales price is set at $$45$ per unit?