Bài giảng Chapter 3 Cost-Volume-Profit Relationships

Cost-Volume-Profit RelationshipsChapter 3Learning Objective 3-1Explain how changes in activity affect contribution margin and net operating income.Basics of Cost-Volume-Profit AnalysisContribution Margin (CM) is the amount remaining from sales revenue after variable expenses have been deducted.The contribution income statement is helpful to managers in judging the impact on profits of changes in selling price, cost, or volume. The emphasis is on cost behavior.Basics of Cost-Volume-Profit AnalysisCM is used first to cover fixed expenses. Any remaining CM contributes to net operating income.The Contribution Approach Sales, variable expenses, and contribution margin can also be expressed on a per unit basis. If Racing sells an additional bicycle, $200 additional CM will be generated to cover fixed expenses and profit.The Contribution ApproachEach month, RBC must generate at least $80,000 in total contribution margin to break-even (which is the level of sales at which profit is zero).The Contribution ApproachIf RBC sells 400 units in a month, it will be operating at the break-even point.The Contribution ApproachIf RBC sells one more bike (401 bikes), net operating income will increase by $200.The Contribution ApproachWe do not need to prepare an income statement to estimate profits at a particular sales volume. Simply multiply the number of units sold above break-even by the contribution margin per unit.If Racing sells 430 bikes, its net operating income will be $6,000.CVP Relationships inEquation FormThe contribution format income statement can be expressed in the following equation:Profit = (Sales – Variable expenses) – Fixed expensesCVP Relationships inEquation FormThis equation can be used to show the profit RBC earns if it sells 401. Notice, the answer of $200 mirrors our earlier solution.401 units × $500401 units × $300$80,000Profit = ($200,500 – Variable expenses) – FixedProfit = ($200,500 – $120,300) – Fixed expensesProfit = ($200,500 – $120,300) – $80,000$200 = ($200,500 – $120,300) – $80,000Profit = (Sales – Variable expenses) – Fixed expensesCVP Relationships inEquation FormWhen a company has only one product we can further refine this equation as shown on this slide. Profit = (P × Q – V × Q) – Fixed expensesProfit = (Sales – Variable expenses) – Fixed expensesCVP Relationships inEquation FormThis equation can also be used to show the $200 profit RBC earns if it sells 401 bikes.Profit = (P × Q – V × Q) – Fixed expensesProfit = ($500 × 401 – $300 × 401) – $80,000$200Profit = (Sales – Variable expenses) – Fixed expensesCVP Relationships inEquation FormUnit CM = Selling price per unit – Variable expenses per unitIt is often useful to express the simple profit equation in terms of the unit contribution margin (Unit CM) as follows:Profit = (P × Q – V × Q) – Fixed expensesProfit = (P – V) × Q – Fixed expensesProfit = Unit CM × Q – Fixed expensesUnit CM = P – VCVP Relationships inEquation FormProfit = (P × Q – V × Q) – Fixed expensesProfit = (P – V) × Q – Fixed expensesProfit = Unit CM × Q – Fixed expensesProfit = ($500 – $300) × 401 – $80,000Profit = $200 × 401 – $80,000Profit = $80,200 – $80,000Profit = $200End of Chapter 3