Nathe Inc., is a newly organized manufacturing business that plans to manufacture and sell 40,000 units per year of a new product. The following estimates have been made of the company's costs and expenses (other than income taxes) LO20-4, LO20-5, LO20-6, LO20-7 PROBLEM 20.1B Setting Sales Price and Com puting the Break-Even Point Variable Fixed per Unit Manufacturing costs: $30 Direct materials 28 Direct labor Manufacturing overhead Period costs: $200,000 17 Selling expenses 5 Administrative expenses 400,000 $600,000 $80 Totals Instructions a. What should the company establish as the sales price per unit if it sets a target of earning an operating income of $200,000 by producing and selling 40,000 units during the first year of operations? (Hint: First compute the required contribution margin per unit.) b. At the unit sales price computed in part a, how many units must the company produce and sell to break even? (Assume all units produced are sold.) What will be the margin of safety (in dollars) if the company produces and sells 40,000 units at the sales price computed in part a? c. d. Assume that the marketing manager thinks that the price of this product must be no higher than $96 to ensure market penetration. Will setting the sales price at $96 enable Nathe to break even, given the plans to manufacture and sell 40,000 units? Explain your answer. LO