Julian Shocron: How to Work Out a Break-Even Point

Julian Shocron covers a short, practical calculation in this note: how much a business has to sell before it stops losing money.

What is the break-even point?

It is the level of sales at which revenue exactly covers every cost. Below it the business runs at a loss; above it, it makes a profit.

Which costs matter?

• Fixed costs stay the same whether sales are high or low: rent, salaried staff, insurance.
• Variable costs rise with every unit sold: ingredients, packaging, sales commissions.

What is contribution margin?

It is what each unit sold leaves behind once its own variable cost is paid:

Contribution margin = price − variable cost per unit

Unit by unit, that contribution chips away at the fixed costs.

What is the formula?

Break-even (units) = fixed costs ÷ contribution margin per unit

What do the bakery's numbers show? (Invented figures)

The fictional bakery sells boxes of pastries.

At 500 boxes the bakery neither gains nor loses. At 600 boxes, the extra 100 each contribute 4, which adds up to 400 of profit.

What is it useful for?

• Pricing: a higher price raises the contribution margin and lowers the break-even point. At a price of 11, each box leaves 5, and break-even falls to 400 boxes.
• Testing a new fixed cost: pricier premises mean more boxes before the month turns a profit.
• Measuring the safety margin: how far sales can drop before losses begin. Selling 600 boxes leaves a cushion of 100.

What are its limits?

• It assumes prices and costs stay put, which rarely holds for long.
• With many different products, the calculation gets harder and relies on a weighted average.

The short version

Break-even equals fixed costs divided by what each unit leaves after its variable cost. For the fictional bakery that is 2,000 ÷ 4 = 500 boxes a month, a quick figure that helps with pricing, spending and sales targets.

Educational note by Julian Shocron. Not investment advice.

More notes by Julian Shocron: julianshocron.com/en