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.
The example below uses these same controls. Shared inputs stay in the URL fragment; anyone with the link can read them.
Break-Even Units
2,000 units
Break-Even Revenue
$90,000.00
Contribution Margin
$25.00/unit
Margin of Safety
33.3%
Sell at least 2,000 whole units to cover all costs.
Current Revenue
$135,000.00
Total Costs
$110,000.00
Profit / Loss
$25,000.00
CM Ratio
55.56%
Operating Leverage (DOL)
3.00
Break-even revenue = fixed costs ÷ CM ratio = $50,000.00 ÷ 55.56% = $90,000.00.
At 3,000 units, a 1% change in units sold changes profit by 3.00% (DOL = total contribution ÷ profit = $75,000.00 ÷ $25,000.00).
| Scenario | Contribution margin | Break-even units | Whole units | Profit at current units |
|---|---|---|---|---|
| Price −10% | $20.50/unit | 2,439.02 | 2,440 | $11,500.00 |
| Variable cost +10% | $23.00/unit | 2,173.91 | 2,174 | $19,000.00 |
| Fixed costs +10% | $25.00/unit | 2,200 | 2,200 | $20,000.00 |
Cost / Revenue Chart
Tip: hover to read values, click to pin a point for export
Cost / Revenue Data Table
| Units | Total Cost | Revenue | Profit/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 |
Learn with a worked scenario
A linear cost-volume model with fixed cost, unit variable cost and one selling price.
Question
Fixed cost 1,200; variable cost 8/unit; selling price 20/unit; current sales 150 units.
- Unit contribution = 20 − 8 = 12.
- Break-even quantity = 1,200 / 12 = 100 units.
- At 150 units, profit = 150 × 12 − 1,200 = 600.
Break-even is 100 units (revenue 2,000); modeled profit at 150 units is 600.
Precision: Break-even units are shown to 2 decimals, with the whole-unit count rounded up; dollar amounts in the result cards to the cent, the CM ratio to 2 decimal places of a percent and the margin of safety to 1. Intermediate values are not rounded.
Load this example in the calculatorTry a variation
Cut the selling price from 20 to 16, with costs unchanged. How many units must be sold to break even? Predict the answer before you reveal it.
Predict, then reveal
150 units. The unit contribution falls from 12 to 16 − 8 = 8, so the 1,200 fixed cost needs 1,200 / 8 = 150 units, and the planned 150 units now only break even.
| Selling price | Break-even units |
|---|---|
| 20 | 100 |
| 16 | 150 |
| 12 | 300 |
Check the assumptions
- Fixed cost and unit costs stay constant over the modeled range.
- Selling price exceeds unit variable cost.
- For indivisible units, round a fractional break-even quantity up to the next whole unit.
Common mistake: Treating the graph's straight-line cost assumptions as valid at every production scale.
Method reference: OpenStax Managerial Accounting: Break-Even Point. These examples illustrate the method; they do not validate every possible input.
How to Use This Calculator
Enter your input values
Fill in all required input fields for the Break-Even Calculator. Follow the units and input format printed next to each field. Where a unit selector is available, choose the units that match your data.
Review your inputs
Double-check that all values are correct and match the units or format shown 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.
Read the results
The Break-Even Calculator computes the output in your browser and displays the results, with units clearly labeled, as soon as they are ready — no data sent to a server.
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.
When to Use This Calculator
- •Use the Break-Even Calculator to check your hand calculations on homework or exam problems — comparing its result with your own working 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. Follow the units printed beside each field. Where a unit selector is provided, the selected unit is converted internally. Results are computed in your browser without sending data to a server, which keeps your inputs private. 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
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