Dictionary

Cost-volume-profit (CVP) analysis

“A way to estimate how changes in price, sales volume and fixed and variable costs affect profit, often used to work out how many sales you need to break even.”

Why cost-volume-profit (CVP) analysis matters to a first-time founder

CVP analysis turns assumptions about price, sales volume, and costs into a simple profit model. It helps a founder see how many units must sell, whether a discount is affordable, and which cost changes matter most. Its simplicity is also its limit: prices, unit costs, and sales mix often change as volume grows, so test several cases.

Examples of cost-volume-profit (CVP) analysis

A workshop sells seats for ₦100,000. Variable costs are ₦25,000 per attendee and monthly fixed costs are ₦3 million. Contribution per seat is ₦75,000, so break-even volume is ₦3 million divided by ₦75,000, or 40 seats. Selling 60 seats gives an estimated profit of ₦1.5 million: 60 multiplied by ₦75,000, less the ₦3 million fixed costs.

Common misunderstanding

CVP is not a forecast that demand will appear. It shows the result if its assumptions hold. The basic profit formula is sales volume multiplied by price minus variable cost per unit, then minus fixed costs. For several products, use a realistic sales mix. Taxes, capacity steps, discounts, waste, and changing unit costs may need separate treatment.

When to use it

Use CVP before setting a price, accepting a large order, adding fixed costs, or choosing a sales target. Write down each assumption and test a cautious, expected, and strong case. It is most useful when costs can be separated reasonably into fixed and variable parts. Use a fuller model when capacity, product mix, or pricing changes sharply with volume.