Menlo Company distributes a single product The companys sale
Menlo Company distributes a single product. The company\'s sales and expenses for last month follow: Sales Variable expenses $314,000 219,800 2 20 14 94,200 6,800 Fixed expenses s 17,400 Required: 1. What is the monthly break-even point in unit sales and in dollar sales? units Break-even point in unit sales 2. Without resorting to computations, what is the total contribution margin at the break-even point? Total contribution margirn
Solution
1) Break even point in unit sales 12800 units Break even point in sales dollars $ 2,56,000 Working; a. Break even point in unit sales = Fixed Expense / Contribution Margin per unit = $ 76,800 / $ 6 = 12,800 b. Contribution margin ratio = Contribution Margin / Sales = $ 6 / $ 20 30% c. Break even point in sales dollars = Fixed Expense / Contribution Margin ratio = $ 76,800 / 30% = $ 2,56,000 2) Total Contribution Margin $ 76,800 At Berak even point, there is neither loss nor profit.All contribution margin is equal to fixed expense. so, At breakeven point , contribution margin is equal to total fixed expense. 3-a) Units sold 17,200 Units Working: Fixed Expense a $ 76,800 Target profit b $ 26,400 Target Contribution Margin c=a+b $ 1,03,200 Contribution Margin per unit d $ 6 Total Units sold e=c/d 17,200 3-b) Menlo Company Contribution Income Statement (At 17,200 units level) Total Per Unit Sales $ 3,44,000 $ 20 Variable expense $ 2,40,800 $ 14 Contribution Margin $ 1,03,200 $ 6 Fixed Expense $ 76,800 Net Profit $ 26,400 4) Dollars Percentage Margin of safety $ 58,000 18.47% Working: Margin of safety is the level of sales after break even point. Margin of Safety sales = Total Sales - Break even Sales So, a. Margin of Safety sales = $ 3,14,000 - $ 2,56,000 = $ 58,000 b. Margin of Safety sales (%) = $ 58,000 / $ 3,14,000 = 18.47% 5) CM Ratio 30% Net Operating Income increases by $ 18,900 Working: a. CM Ratio - Refer to working b. of part 1. b. Degree of operating leverage = Contribution Margin / Net Operating Income = $ 94,200.00 / $ 17,400.00 = 5.41 c. Increase in sales = $ 63,000 / $ 3,14,000 = 20.06% d. Increase in Net Operatig Income (%) = Increase in sales x Degree of operating leverage = 20.06% x 5.41 = 108.62% e. Increase in Net Operating Income ($) = $ 17,400 x 108.62% = $ 18,900