🎓 Prepared by students from Boğaziçi University

What is Break-Even Analysis?

Break-even analysis tells a business exactly how many units it must sell — or how much revenue it must earn — before it starts making a profit. It's one of the first calculations any founder or finance student learns, because it turns fixed costs, variable costs and price into a single, clear number.

Short answer

The break-even point is the sales volume at which total revenue equals total costs — zero profit, zero loss. In units: BEP = Fixed Costs ÷ (Price per unit − Variable cost per unit).

Break-Even Chart
40003000200010000
x: Units sold · y: $Total RevenueTotal Cost
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Try it: interactive calculator

Break-even point
100units
= 1,000/(20-10)
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Step-by-step worked examples

A bakery has $1,000 in fixed costs, sells cupcakes at $20, and each costs $10 to make. Find the break-even point.

BEP = FC / (P − VC)
BEP = 1000 / (20 − 10) = 1000 / 10
BEP = 100 units

A software tool has $6,000/month fixed costs, sells at $50/month, and variable cost (support/hosting) is $10/user. Find the break-even number of subscribers.

BEP = FC / (P − VC)
BEP = 6000 / (50 − 10) = 6000 / 40
BEP = 150 subscribers

A t-shirt printer has $2,400 fixed costs, sells shirts for $18, and each costs $6 in materials/labor. How many shirts to break even, and what's the break-even revenue?

BEP = FC / (P − VC)
BEP = 2400 / (18 − 6) = 2400 / 12
BEP = 200 shirts
Break-even revenue = 200 × $18 = $3,600
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Flashcards

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Quick quiz

Q1.Fixed costs are $2,000, price is $25/unit, variable cost is $15/unit. Break-even point?

Correct answer: C. BEP = 2000 / (25 − 15) = 2000 / 10 = 200 units.

Q2.What does the break-even point represent?

Correct answer: B. At break-even, revenue exactly covers total costs — profit is zero.

Q3.If a company lowers its variable cost per unit (price and fixed costs unchanged), the break-even point will:

Correct answer: B. A lower variable cost increases the contribution margin, so fewer units are needed to break even.

Q4.Contribution margin is calculated as:

Correct answer: B. Contribution margin = Price per unit − Variable cost per unit.
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Common mistakes

Forgetting to subtract variable cost before dividing by fixed costs.Correct: The denominator is (Price − Variable cost), the contribution margin — not price alone.

Treating rent, salaries and marketing spend as variable costs.Correct: Fixed costs stay constant regardless of sales volume; variable costs scale with each unit sold.

Assuming break-even point means the business is profitable.Correct: At break-even, profit is exactly zero — profit only starts above that volume.

Using a break-even formula with mismatched units (e.g., yearly fixed costs with monthly price).Correct: Make sure fixed costs, price and variable cost are all measured over the same time period.

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FAQ

What is break-even analysis?

Break-even analysis calculates the sales volume at which total revenue equals total costs, so profit is zero.

What is the break-even point formula?

BEP (in units) = Fixed Costs ÷ (Price per unit − Variable cost per unit).

What are examples of break-even analysis?

A bakery calculating how many cupcakes it must sell to cover rent, or a SaaS company finding how many subscribers cover its server costs, are both break-even examples.

How do you calculate the break-even point?

Divide total fixed costs by the contribution margin (price per unit minus variable cost per unit) to get the number of units you must sell.

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