Solomon Corporation is a manufacturing company that makes small electric motors it sells for $$55$ per unit. The variable costs of production are $$30$ per motor, and annual fixed costs of production are $$325,000.$

Required

How many units of product must Solomon make and sell to break even?

How many units of product must Solomon make and sell to earn a $$75,000$ profit?

The marketing manager believes that sales would increase dramatically if the price were reduced to $$50$ per unit. How many units of product must Solomon make and sell to earn a $$97,500$ profit, if the sales price is set at $$50$ per unit?