Lexis Ltd. has estimated the following costs for producing and selling 15,000 units of its product:

Direct materials $75,000

Direct labor 90,000

Variable overhead 45,000

Fixed overhead 30,000

Variable selling and administrative expenses 60,000

Fixed selling and administrative expenses 40,000

Lexis Ltd.'s income tax rate is 40%.

a. Given that the selling price of one unit is $38, calculate how many units Lexis would have to sell in order to break even.

b. Assume the selling price is $43 per unit. Calculate how many units Lexis would have to sell in order to produce a profit of $25,000 before taxes.

c. Calculate what price Lexis would have to charge in order to produce a profit of $30,000 after taxes if 7,500 units were produced and sold.

d. Calculate what price Lexis would have to charge in order to produce a before-tax profit equal to 30% of sales if 10,000 units were produced and sold.