2 Calculate The Company's Break-Even Point in Unit Sales

The break-even point in unit sales is the number of units a company must sell to cover all costs and start making a profit. This calculation helps businesses determine their minimum sales volume to become profitable.

What is a break-even point?

The break-even point is the sales level at which total revenue equals total costs, resulting in zero profit. It's a crucial financial metric that helps businesses understand their minimum sales requirements to cover expenses.

For unit-based calculations, the break-even point is expressed in terms of the number of units that must be sold. This differs from break-even analysis that might consider revenue or time periods.

Break-even formula

The break-even point in unit sales can be calculated using this simple formula:

Break-even units = Fixed costs / (Selling price per unit - Variable cost per unit)

Where:

Fixed costs are expenses that don't change with production volume (rent, salaries, etc.)
Selling price per unit is the revenue generated from each unit sold
Variable cost per unit is the cost that varies directly with production (materials, labor, etc.)

Note: The selling price per unit must be greater than the variable cost per unit for the company to be profitable. If selling price ≤ variable cost, the company cannot achieve a break-even point.

Worked example

Let's calculate the break-even point for a company with:

Fixed costs: $10,000 per month
Selling price per unit: $50
Variable cost per unit: $20

Using the formula:

Break-even units = $10,000 / ($50 - $20) = $10,000 / $30 ≈ 333.33 units

This means the company needs to sell approximately 334 units to cover all costs and start making a profit.

Units Sold	Total Revenue	Total Costs	Profit/Loss
300	$15,000	$16,000	($1,000) Loss
334	$16,700	$16,700	$0 Break-even
400	$20,000	$18,000	$2,000 Profit

Interpreting results

The break-even point helps businesses make strategic decisions:

Determine minimum sales targets
Assess pricing strategies
Evaluate cost control measures
Plan production levels

Companies often set sales targets above the break-even point to ensure profitability. The difference between actual sales and break-even units indicates profit potential.

FAQ

What if my selling price is less than variable costs?: If your selling price per unit is less than or equal to your variable cost per unit, you cannot achieve a break-even point. This means you're losing money on every unit sold.
How does break-even change with fixed costs?: Higher fixed costs increase the break-even point because you need to sell more units to cover the additional expenses. Conversely, lower fixed costs reduce the break-even point.
Can break-even be negative?: No, the break-even point is always a positive number of units. If you're operating at a loss, you're below the break-even point.
Is break-even the same as profit?: No, break-even is the point where revenue equals costs (zero profit). Profit occurs when revenue exceeds costs after the break-even point is reached.