What is Cost-Volume-Profit (CVP) Analysis?
Cost-Volume-Profit analysis shows how changes in costs, sales volume, and price affect a company's operating profit. It is the backbone of break-even analysis and short-term decision making in managerial accounting.
CVP analysis studies how fixed costs, variable costs, selling price, and sales volume interact to determine profit, centered on the break-even point where total revenue equals total costs.
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Step-by-step worked examples
A company has fixed costs of $10,000, sells its product at $50/unit, and pays $30/unit in variable costs. Find the break-even point.
Contribution margin = P − VC = 50 − 30 = $20 Break-even units = FC / CM = 10,000 / 20 = 500 units Break-even revenue = 500 × $50 = $25,000
Same company wants a target profit of $5,000. How many units must it sell?
Units for target profit = (FC + Target Profit) / CM = (10,000 + 5,000) / 20 = 750 units Check: 750 × 20 − 10,000 = $5,000 ✓
If the company raises its price to $60 while VC stays at $30 and FC at $10,000, what is the new break-even point?
New CM = 60 − 30 = $30 Break-even units = 10,000 / 30 = 333.3 ≈ 334 units Higher price lowers the break-even point (fewer units needed).
Flashcards
Quick quiz
Q1.A company has fixed costs of $10,000, sells at $50/unit with $30 variable cost per unit. What is the break-even point in units?
Q2.What does contribution margin measure?
Q3.In CVP analysis, what happens to profit for each unit sold above the break-even point?
Q4.Which of these is NOT a standard assumption of CVP analysis?
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Common mistakes
Confusing the break-even point with a target-profit point. — Correct: Break-even means zero profit; target-profit analysis adds the desired profit to fixed costs before dividing by contribution margin.
Treating mixed costs as entirely fixed or entirely variable. — Correct: CVP requires separating semi-variable costs into their fixed and variable components first (e.g., with the high-low method).
Ignoring the relevant range when applying CVP. — Correct: Fixed costs and per-unit variable costs only hold true within a specific volume range — extreme volumes can shift both.
Dividing fixed costs by total cost instead of contribution margin. — Correct: Break-even units = Fixed Costs ÷ Contribution Margin per unit, never total or variable cost.
FAQ
What is CVP analysis?
Cost-Volume-Profit analysis is a managerial accounting tool that shows how changes in costs, sales price, and volume affect a company's operating profit, centered on the break-even point.
What is the CVP formula for break-even?
Break-even units = Fixed Costs ÷ (Selling Price − Variable Cost per Unit), i.e., Fixed Costs ÷ Contribution Margin per unit.
How do you calculate break-even in dollars?
Break-even revenue = Break-even units × selling price, or equivalently Fixed Costs ÷ Contribution Margin Ratio.
What are examples of CVP analysis in business?
Setting a break-even sales target, pricing decisions, deciding whether to add a new product line, and calculating how many units are needed to hit a profit goal.