Question

Harold McWilliams owns and manages a general merchandise store in a rural area of Virginia. Harold sells appliances, clothing, auto parts, and farming equipment, among a wide variety of other types of merchandise. Because of normal seasonal and cyclical fluctuations in the local economy, he knows that his business will also have these fluctuations, and he is planning to use CVP analysis to help him understand how he can expect his profits to change with these fluctuations. Harold has the following information for his most recent year. Cost of goods sold represents the cost paid for the merchandise he sells, while operating costs represent rent insurance, and salaries, which are entirely fixed. Sales - Cost of merchandise sold Contribution margin: Operating costs Operating profit $ 650,000 422,500 227,500 105,000 $ 122,500 Required: 1-a. What is Harold's margin of safety (MOS) in dollars? (Do not round Intermediate calculations.) 1-b. What is the margin of safety (MOS) ratio? (Input your answer as a percentage rounded to 2 decimal places (1.e., 1567-15.67%).) 3. What is Harold's margin of safety (in dollars) and operating profit if sales should fall to $500,000? (Do not round intermediate calculations.) . 1-a. Margin of safety (MOS) 1-5. MOS ratio LI .

Answer 1

1-a Margin of safety (MOS) 1-6 MOS Ratio 3 Margin of safety Operating profit 3,50,000 58.33% 2,00,000 70,000 1-a Margin of safety = Sales - Breakeven sales Breakeven sales= Operating / Contribution ratio Contribution rati= Contribution margin / Sales = 227.500 / 650,000 = 35% Breakeven sales = 105,000/ 35% = 3,00.000 Margin of safety = 650,000 - 300,000 = 3,50,000 1-6 MOS ratio = Margin of safety / Sales = 350,000 / 600,000 = 58.33% 3 Margin of safety= 500,000 - 300,000 = 2,00,000 Operating profit = Margin of safety x Contribution ratio = 200,000 x 35% = 70,000