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Break-Even Calculator

Fixed costs, variable cost per unit, and selling price → break-even quantity, revenue, contribution margin, and margin of safety with cost/revenue chart.

Reviewed by Christopher FloiedPublished Updated

This free online break-even calculator provides instant results with no signup required. All calculations run directly in your browser — your data is never sent to a server. Supports both metric (SI) and imperial units with built-in unit selection dropdowns on every input field, so you can work in whatever units your problem provides. Designed for engineering students and professionals working through coursework, design projects, or quick reference calculations.

Break-Even Calculator

Break-Even Units

2000 units

Break-Even Revenue

$90,000.00

Contribution Margin

$25.00/unit

Margin of Safety

33.3%

Current Revenue

$135,000.00

Total Costs

$110,000.00

Profit / Loss

$25,000.00

Cost / Revenue Chart

Cost / Revenue Data Table

UnitsTotal CostRevenueProfit/Loss
0$50,000$0$-50,000
80$51,600$3,600$-48,000
160$53,200$7,200$-46,000
240$54,800$10,800$-44,000
320$56,400$14,400$-42,000
400$58,000$18,000$-40,000
480$59,600$21,600$-38,000
560$61,200$25,200$-36,000
640$62,800$28,800$-34,000
720$64,400$32,400$-32,000
800$66,000$36,000$-30,000
880$67,600$39,600$-28,000
960$69,200$43,200$-26,000
1,040$70,800$46,800$-24,000
1,120$72,400$50,400$-22,000
1,200$74,000$54,000$-20,000
1,280$75,600$57,600$-18,000
1,360$77,200$61,200$-16,000
1,440$78,800$64,800$-14,000
1,520$80,400$68,400$-12,000
1,600$82,000$72,000$-10,000
1,680$83,600$75,600$-8,000
1,760$85,200$79,200$-6,000
1,840$86,800$82,800$-4,000
1,920$88,400$86,400$-2,000
2,000$90,000$90,000$0
2,080$91,600$93,600$2,000
2,160$93,200$97,200$4,000
2,240$94,800$100,800$6,000
2,320$96,400$104,400$8,000
2,400$98,000$108,000$10,000
2,480$99,600$111,600$12,000
2,560$101,200$115,200$14,000
2,640$102,800$118,800$16,000
2,720$104,400$122,400$18,000
2,800$106,000$126,000$20,000
2,880$107,600$129,600$22,000
2,960$109,200$133,200$24,000
3,040$110,800$136,800$26,000
3,120$112,400$140,400$28,000
3,200$114,000$144,000$30,000
3,280$115,600$147,600$32,000
3,360$117,200$151,200$34,000
3,440$118,800$154,800$36,000
3,520$120,400$158,400$38,000
3,600$122,000$162,000$40,000
3,680$123,600$165,600$42,000
3,760$125,200$169,200$44,000
3,840$126,800$172,800$46,000
3,920$128,400$176,400$48,000
4,000$130,000$180,000$50,000

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Break-Even Calculator. Most fields include unit selectors so you can work in your preferred unit system — metric or imperial, whichever matches your problem.

2

Review your inputs

Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.

3

Read the results

The Break-Even Calculator instantly computes the output and displays results with units clearly labeled. All calculations happen in your browser — no loading time and no data sent to a server.

4

Explore parameter sensitivity

Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.

Formula Reference

Break-Even Calculator Formula

See calculator inputs for the governing equation

Variables: All variables and their units are labeled in the calculator interface above. Input fields accept values in multiple unit systems — select your preferred unit from the dropdown next to each field.

When to Use This Calculator

  • Use the Break-Even Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations — instant feedback helps identify arithmetic errors before they propagate.
  • Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
  • Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
  • Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
  • Use it in the field when a quick estimate is needed and a full engineering software package is not available.

About This Calculator

The Break-Even Calculator is a precision engineering calculation tool designed for students, engineers, and technical professionals. Fixed costs, variable cost per unit, and selling price → break-even quantity, revenue, contribution margin, and margin of safety with cost/revenue chart. All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Inputs support both metric (SI) and imperial unit systems, with unit conversion handled automatically — simply select your preferred unit from the dropdown next to each field. Results are computed instantly in the browser without sending data to a server, ensuring both speed and privacy. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.

The Theory Behind It

Break-even analysis determines the sales volume at which total revenue equals total costs — the point at which a business neither profits nor loses. Fixed costs FC are independent of volume (rent, salaries, insurance, equipment depreciation). Variable costs VC are per-unit costs that scale with volume (materials, direct labor, shipping). Contribution margin per unit is CM = P − v, where P is the selling price per unit and v is the variable cost per unit. Break-even quantity Q_BE = FC/CM. Above this volume, each additional unit contributes CM to profit. Break-even revenue is Q_BE × P. Safety margin is (current volume − break-even volume) / current volume, measuring how much volume can drop before losses begin. For multi-product businesses, a weighted average contribution margin based on sales mix is used. Target profit analysis extends break-even: Q_target = (FC + target profit) / CM gives the volume needed to achieve a desired profit level. Break-even analysis is a fundamental business planning tool used for pricing decisions, cost structure evaluation, and feasibility studies. Sensitivity analysis on fixed costs, variable costs, and selling price shows which parameters have the biggest impact on the break-even point.

Real-World Applications

  • Startup business plans: determine the sales volume required for a new business to reach profitability given its cost structure.
  • Pricing decisions: evaluate whether a price increase or decrease is likely to improve profitability given expected volume changes.
  • Cost structure evaluation: compare fixed-cost-heavy (automated factory) vs variable-cost-heavy (contract labor) business models.
  • Product discontinuation analysis: determine whether a product's volume exceeds its break-even to decide whether to continue production.
  • Make vs buy analysis: compare producing a component internally (high fixed cost, low variable) vs purchasing (low fixed, higher variable).

Frequently Asked Questions

What is break-even analysis?

Break-even analysis finds the sales volume at which total revenue equals total costs, resulting in zero profit (or loss). Above this volume, you profit. Below, you lose money. Break-even is a fundamental business metric showing the minimum scale needed for viability.

What's the formula for break-even quantity?

Q_BE = Fixed Costs / Contribution Margin per Unit, where Contribution Margin = Selling Price − Variable Cost per Unit. For fixed costs of $100,000, selling price $50, variable cost $30: CM = $20, Q_BE = 100000/20 = 5000 units.

What's contribution margin?

Contribution margin per unit = selling price − variable cost per unit. It's the portion of each unit's revenue that 'contributes' to covering fixed costs and (after break-even) to profit. High contribution margin means each sale has a big impact on profitability. Low contribution margin means you need high volume to cover fixed costs.

What's a safety margin?

Safety margin = (current volume − break-even volume) / current volume. It measures how much volume can drop before you start losing money. A safety margin of 30% means you can lose up to 30% of current sales before breaking even. Businesses in volatile markets seek higher safety margins; stable businesses can operate closer to break-even.

How do I find the volume for a target profit?

Q = (Fixed Costs + Target Profit) / Contribution Margin per Unit. To earn $50,000 profit with $100,000 fixed costs and $20 contribution margin: Q = (100,000 + 50,000) / 20 = 7500 units. This extends break-even analysis to show how profit scales with volume.

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References & Further Reading