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The Math / Break-even analysis

The Math · Margin

Break-even analysis for an online store, on contribution margin

Break-even analysis answers the question under every hiring, pricing and promo decision: how many orders does this month need before the business earns a dollar? Done on contribution margin rather than gross margin, it also shows which input moves the line most.

The short answer

Break-even orders = fixed costs ÷ contribution margin per order, and break-even revenue = fixed costs ÷ contribution margin ratio. Use contribution after every variable cost (CM3), then compare the answer with the volume you actually do: the gap is your margin of safety.

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The formula

Break-even orders = Fixed costs ÷ CM per order · Break-even revenue = Fixed costs ÷ CM ratio

  • Fixed costs
  • CM per order
  • CM ratio
  • Margin of safety
The formula

Fixed costs over what each order contributes.

TermWhat it means
Fixed costsThe monthly bill that does not move with orders: rent, salaries (the owner's included), software, insurance. See fixed costs.
CM per orderAverage order value minus every variable cost on the order, stepped down to CM3 as shown on CM1, CM2 and CM3.
CM ratioCM per order ÷ average order value. The contribution margin ratio page covers why mix moves it.
Margin of safety(Actual orders − break-even orders) ÷ actual orders. How far volume can fall before the month loses money.

The break-even point glossary entry defines the term. This page goes further: the margin of safety, the orders needed for a profit target, and which inputs move the line.

What moves the line

One input at a time, from the same base.

Each row changes one input and holds the rest. Payment fees are held flat for simplicity.

ChangeCM per orderFixed costsBreak-even ordersvs base
Base caseA$27.60A$26,500961n/a
A$10 off every orderA$17.60A$26,5001,506+545
New hire at A$6,000 /moA$27.60A$32,5001,178+217
Freight up A$2 per orderA$25.60A$26,5001,036+75
Price up A$5 per orderA$32.60A$26,500813−148

Demonstrative numbers. A discount is the most expensive move on the list because it comes straight off contribution, the denominator. Price the next promo with the discount impact calculator before it runs.

Worked example 1

Break-even, margin of safety and a profit target.

The A$120 lens order from The Math, which contributes A$27.60 at CM3 (23%), against A$26,500 of monthly fixed costs. The store currently does 1,300 orders a month.

Worked example / demonstrative numbers
Fixed costsA$26,500 /mo
Contribution per order (CM3)A$27.60
Break-even: 26,500 ÷ 27.60 = 960.1, rounded up961 orders
Break-even revenue: 26,500 ÷ 0.23≈ A$115,217
Current volume1,300 orders
Margin of safety: (1,300 − 961) ÷ 1,300339 orders, 26.1%
Profit at 1,300: (1,300 × 27.60) − 26,500A$9,380
Orders for A$15,000 profit: (26,500 + 15,000) ÷ 27.601,504 orders

Always round break-even up: 960 orders leaves the month a few dollars short. Every order above 961 adds A$27.60 of profit, which is why a target profit is just more fixed costs to cover: add it to the numerator.

A 26% margin of safety means a quarter of volume can disappear before the month goes red. Check yours with the break-even units calculator.

Worked example 2

Is ad spend fixed or variable in your break-even?

Example 1 treats ad spend as variable: A$26.40 per order, scaling with volume. Many stores set a flat monthly budget instead. Then it belongs with fixed costs, and the denominator becomes CM2, which is A$54.00 on the same order.

Worked example / demonstrative numbers
Fixed costsA$26,500
Monthly ad budget, held flatA$20,000
Costs to coverA$46,500
Contribution per order before marketing (CM2)A$54.00
Break-even: 46,500 ÷ 54.00 = 861.1, rounded up862 orders
Ad cost per order at break-even: 20,000 ÷ 862A$23.20

Neither answer is wrong. They describe different spending habits. If you scale spend to hold cost per order, use CM3 and the variable view. If the budget is set in advance and orders fall where they fall, use CM2 and treat the budget as fixed. Mixing them, by taking ad spend off at CM3 and adding the budget to fixed costs, counts marketing twice.

For the per-campaign version of this question, the break-even ROAS floor is 1 ÷ CM2. The ROAS formula page works it through.

How Blufire automates it

Break-even that updates when the inputs do.

Break-even is only as good as the contribution per order under it, and that number moves every time freight, fees, discounts or mix move. Section S2, Unit Economics, computes it on every order from the ledger, so the denominator is current rather than last quarter's guess.

Section S11, Planning & Forecasting, then works forward. The revenue forecast fan joins historical actuals to a forecast range, month by month, with the share expected from returning customers. The Scenario Lab prices a COGS, AOV or discount change before you commit to it, which is the table above run on your own numbers.

  • Forecast fansRevenue, CM1, demand and cash projected ahead as a range, not a single line.
  • Scenario LabStress-tests COGS, AOV or discount moves before you make them.
  • CM1 efficiency frontierMaps each channel's payback and breakeven.
  • Plan-vs-ActualTracks the quarter with a CM1 variance waterfall, so a miss is explained.
See section S11, Planning & Forecasting→
S11 Planning & Forecasting · Revenue forecast fan
Blufire revenue forecast fan joining historical actuals to a forecast range, with monthly forecast revenue and share of returning customers

Real product screen, shown on sample data.

Common mistakes

Where break-even analysis goes wrong.

  • Dividing by gross margin.Gross margin skips fulfilment, fees and marketing, so it overstates contribution per order and understates the orders you need.
  • Leaving out the owner's salary.A store that only breaks even because nobody is paid has not broken even.
  • Counting marketing twice, or not at all.Decide whether ad spend is variable (in CM3) or fixed (in the numerator). Pick one, as example 2 shows.
  • Running it once a year.A freight quote, a fee change or a heavy promo month moves the line. Recalculate monthly and before any decision that adds fixed cost.
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FAQ

Questions operators ask.

Add up monthly fixed costs, then work out contribution margin per order after landed COGS, fulfilment, shipping, payment fees and variable marketing. Divide the first by the second for break-even orders, rounding up. Divide fixed costs by the contribution margin ratio for break-even revenue. Compare both with your actual volume.
Break-even units equal fixed costs divided by contribution margin per unit. At A$26,500 of fixed costs and A$27.60 contribution per order, that is 960.1, so 961 orders. For a profit target, add the target to fixed costs before dividing: A$15,000 of profit needs 1,504 orders.
It is how far sales can fall before the business stops covering fixed costs: actual volume minus break-even volume, divided by actual volume. A store doing 1,300 orders against a 961-order break-even has a 26.1% margin of safety. The bigger it is, the more a bad month can absorb.
It depends how you spend. If spend scales with orders to hold a cost per order, it is variable and comes off at CM3. If you set a monthly budget regardless of volume, treat it as fixed and divide by CM2 instead. Never do both, or marketing is counted twice.
Gross margin leaves shipping, payment fees and marketing inside the number, so each order looks like it contributes more than it does. The break-even volume comes out too low.

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