Problem 1: Hess Co. manufactures a product that sells for $12 per unit. Total fixed costs are $96,000 and variable costs are $7 per unit. Hess can buy a newer production machine that will increase total fixed costs by $22,800 but variable costs will be decreased by $0.40 per unit. What effect would the purchase of the new machine have on Hess's break-even point in units? Show calculations.
Problem 2: Kelley Company and Mason Company each have sales of $200,000 and costs of $140,000. Kelley Company's costs consist of $40,000 fixed and $100,000 variable, while Mason Company's costs consist of $100,000 fixed and $40,000 variable. Which company will suffer the greatest decline in profits if sales volume declines by 15%? Show calculations.