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Chapter 6. Cost-Volume-Profit (CVP) Analysis. CVP Analysis. Cost Fixed costs Variable costs Volume Changes in activity Profit Selling price Sales mix Desired profit. CVP Assumptions. Selling price is constant Costs are linear Variable and fixed cost behavior Sales mix is constant
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Chapter 6 Cost-Volume-Profit (CVP) Analysis
CVP Analysis • Cost • Fixed costs • Variable costs • Volume • Changes in activity • Profit • Selling price • Sales mix • Desired profit
CVP Assumptions • Selling price is constant • Costs are linear • Variable and fixed cost behavior • Sales mix is constant • Inventories do not change
Contribution Income Statement • Three column approach • Basic format • Per unit • Percent Bike example handout
Practice Problems Units Variable Contribution Fixed Net Sold Sales Expenses Margin/Unit Expenses Income/Loss ? $400,000 ? $15 $160,000 $50,000 30,000 ? $260,000 $6 ? $40,000 Contribution Margin = $50,000 + $160,000 = $210,000 Variable Expenses = $400,000 - $210,000 = $190,000 Units Sold = $210,000 / 15 = 14,000 Contribution Margin = $6 * 30,000 = $180,000 Sales = $180,000 + $260,000 = $440,000 Fixed Expenses = $180,000 - $40,000 = $140,000
Practice Problems Variable Contribution Fixed Net Sales Expenses Margin % Expenses Income/Loss $400,000 ? 30% ? $70,000 ? ? 40% $650,000 ($90,000) Contribution Margin = $400,000 x 30% = $120,000 Variable Expenses = $400,000 - $120,000 = $280,000 Fixed Expenses = $120,000 - $70,000 = $50,000 Contribution Margin = $650,000 - $90,000 = $560,000 Sales = $560,000 / 40% = $1,400,000 Variable Expenses = $1,400,000 - $560,000 = $840,000
CVP Graph Total Revenue Break-even Profit Costs Total Expense Loss Fixed Expense Activity
Coach Keen Says…. • Redo Bike Example and Practice Problem • Review pages 234-244 • Read pages 244-257 • Do homework 6-1 and 6-8 • Attempt homework 2, 3, 4, 5, 6, & 7
Break-even Analysis • Contribution margin (CM) ratio Contribution Margin Sales Bike example
Equation Method Sales – Variable Expenses – Fixed Expense = Profits • Break-even in unit sales Sales(Q) = Variable(Q) + Fixed + Profits • Break-even in sales dollars Sales(X) = Variable(X) + Fixed + Profits
Contribution Margin Method • Break-even in unit sales Fixed expense + Target profit Unit contribution margin • Break-even in sales dollars Fixed expense + Target profit Contribution margin ratio Bike example
CVP Graph Bike example Total Revenue Break-even Profit Costs Total Expense 200,000 120,000 Loss Fixed Expense 80,000 200 400 600 Bikes
Operating Leverage • Degree of Operating Leverage Contribution margin Net Income • Increase in net income Operating leverage x Increase in sales = INI
Margin of Safety • Margin of safety Margin of Safety = Total sales – Break-even sales • Margin of safety percentage Margin of safety Sales Problem 6-12 page 265
Multiproduct Break-even Analysis • When a company has multiple products, the overall (combined) contribution margin ratio is used in break-even analysis. • If the sales mix changes, then the overall contribution margin ratio with change. Problem 6-11 page 265
Coach Keen Says…. • Redo Bike Example and Practice Problem • Redo all problems done in class, 6-11 & 6-12 Review text material for Chapter 6 • Do all homework 1, 2, 3, 4, 5, 6, 7, & 8 • Read Chapter 16 but ignore the multiple step process presented in the book • Do homework exercise 16-1