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Business FIELD NOTES · 4 MIN READ

How Break-Even Analysis Works

Fixed costs ÷ contribution margin = the units you must sell. Worked examples, profit targets, and what a price cut does to break-even.

Break-even analysis answers the first question every business should ask: at what sales volume does this stop losing money? Below the break-even point every sale digs the hole deeper; above it, every sale adds profit. The whole calculation is one division — but choosing the inputs honestly is where the real work is.

The three inputs

Break-even analysis sorts every cost into one of two buckets:

  • Fixed costs — the same every month regardless of sales: rent, salaries, insurance, software subscriptions. Sell 10 units or 10,000, these don't move.
  • Variable costs — incurred per unit sold: materials, packaging, per-transaction payment fees, shipping. Roughly proportional to volume.

The third input is your price per unit. From price and variable cost comes the number that drives everything, the contribution margin — what each sale contributes toward fixed costs and, eventually, profit:

contribution = price − variable cost per unit

A item selling for $25 with $15 of variable cost contributes $10 per sale. That $10 is not profit yet — it first has to repay the month's fixed costs.

The formula and a worked example

break-even units = fixed costs / (price − variable cost)

A small studio has $3,000 of monthly fixed costs and sells a product for $25 that costs $15 to make:

break-even = 3000 / (25 − 15) = 300 units

Check it by building the profit statement at exactly 300 units: revenue 300 × $25 = $7,500; variable costs 300 × $15 = $4,500; fixed costs $3,000. Profit: 7,500 − 4,500 − 3,000 = $0 — break-even, by definition. Unit #301 books $10 of real profit; unit #299 leaves a $10 hole.

The same math gives the break-even revenue: 300 units × $25 = $7,500 a month. That's the number to compare against your bank balance and your sales pipeline.

Adding a profit target

Break-even is the floor, not the goal. To earn a target profit, treat the target as one more fixed cost to cover:

units for target = (fixed costs + target profit) / contribution

With $3,000 of fixed costs and a $1,200 monthly profit goal: (3,000 + 1,200) / 10 = 420 units, or $10,500 of revenue. Selling 400 units would produce (400 − 300) × $10 = $1,000 of profit — and the distance between actual sales and break-even, here 100 units, is the margin of safety: at 400 units sold against 300 needed, 25% of your volume could disappear before you're losing money.

What a price cut really costs

Break-even analysis makes price decisions brutally concrete. Suppose the studio drops the price from $25 to $20 to chase volume. The contribution margin falls from $10 to $5, and the break-even point doubles: 3,000 / 5 = 600 units. A 20% price cut demands 100% more sales — because every remaining sale now covers half as much fixed cost. Raising the price does the opposite: at $30 the margin is $15 and break-even falls to 200 units, though volume may follow the price down, which is the trade the market gets to vote on.

This is also why gross margin (the markup-vs-margin distinction in markup vs margin) matters before volume math: a thin margin makes the break-even point so high that ordinary variation in monthly sales straddles it.

Where the model breaks

Break-even analysis assumes away several realities, and it's worth knowing which. It treats variable cost per unit as constant — but bulk discounts, overtime, and payment-processing tiers make it drift. It assumes one price and one product; multi-product businesses need a weighted average contribution. It ignores the difference between cash and accounting (a loan payment, inventory purchases), and it says nothing about whether demand at your price can actually reach the break-even volume. Use it as a first-pass filter — if the required units are implausible, the idea needs a rethink before any spreadsheet gets more elaborate.

For a related consumer-side calculation — deciding which package size actually costs less — see how unit price works; the "per-unit" instinct is the same one this analysis formalizes.

Try it yourself

The Break-Even Calculator computes break-even units and revenue from your fixed costs, price, and variable cost — plus the sales needed for a profit target. When costs are what you're comparing, the Unit Price Calculator breaks any purchase down to price-per-unit, and the Unit Price Comparison ranks multiple supplier or package options side by side so you source your inputs at the best value before running the numbers.

Frequently asked questions

What is the break-even formula?
Fixed costs ÷ (price − variable cost per unit). The denominator is the contribution margin — what each sale contributes toward fixed costs. $3,000 of fixed costs and a $10 contribution means 300 units to break even.
What is contribution margin?
Price minus variable cost per unit. A $25 item with $15 of variable cost contributes $10 per sale toward fixed costs and profit. Unit #301 is pure profit once break-even is passed.
How do I find the sales needed for a profit target?
Add the target to fixed costs and divide by contribution: (3,000 + 1,200) / 10 = 420 units for a $1,200 monthly profit. The extra 120 units over break-even are what the target costs.
Why does a small price cut double my break-even?
Because the cut comes out of the contribution margin. Dropping price from $25 to $20 with a $15 variable cost halves the contribution from $10 to $5, so 3,000 / 5 = 600 units — a 20% price cut demanding 100% more volume.
What is margin of safety?
How far actual sales can fall before you hit break-even, as a percentage of actual sales. Selling 400 units against a 300-unit break-even is a 25% margin of safety — the cushion a slow month gets to burn.