Commerce & Accounting Tools

Break-Even Point Calculator

Enter fixed costs, the selling price per unit and the variable cost per unit. The calculator works out contribution per unit, break-even units and the sales revenue needed to reach that point.

What is a Break-Even Point Calculator?

A break-even point calculator shows how many units need to be sold, and how much revenue that represents, before a business covers its fixed costs and starts generating profit. Enter fixed costs, selling price per unit and variable cost per unit to see the contribution per unit and the break-even point in both units and sales revenue.

Formula and calculation method

Contribution per unit = Selling Price per Unit − Variable Cost per Unit. Break-Even Units = Fixed Costs ÷ Contribution per Unit. Break-Even Sales = Break-Even Units × Selling Price per Unit.

What this calculator does

Splits costs into fixed and variable, works out how much each unit sold contributes toward covering the fixed costs, and reports the sales volume and revenue at which total revenue exactly equals total cost.

How to interpret the result

Break-even units is the sales volume where profit is exactly zero. Selling fewer units than that means a loss; selling more means a profit, assuming price and unit cost stay the same as entered. Because a business cannot sell part of a unit, treat the exact figure as a minimum and round up for planning.

Assumptions

• Selling price per unit and variable cost per unit stay the same across the whole range of output being modelled.
• Fixed costs do not change with the sales volume being tested — no new equipment, staff or premises are triggered within that range.
• The business sells a single product or an even mix of products with the same contribution per unit; a mixed product line with different margins needs a weighted-average calculation instead.

Limitations

• Real fixed costs often increase in steps once volume passes a certain level (a new machine, an extra shift), which this straight-line model does not capture.
• It does not include taxes, so it estimates operating break-even rather than a break-even point after tax.
• Selling price and variable cost are assumed constant, but discounts at higher volumes or rising material costs would change the real result.

How it works

Contribution per unit is the selling price minus the variable cost per unit — the amount each unit sold contributes toward covering fixed costs before any profit begins. Dividing total fixed costs by contribution per unit gives the break-even point in units: the number of units that must be sold so that total contribution exactly equals fixed costs. Multiplying break-even units by the selling price converts that into break-even sales revenue.

Worked example

A business has fixed costs of 20,000, sells each unit for 50, and pays 30 in variable cost per unit. Contribution per unit is 50 minus 30, which is 20. Break-even units is 20,000 divided by 20, which is 1,000 units. Break-even sales revenue is 1,000 multiplied by 50, which is 50,000.

How to use it

1. Enter total fixed costs for the period (rent, salaries, insurance and other costs that do not change with sales volume).
2. Enter the selling price per unit.
3. Enter the variable cost per unit (materials, direct labour and other costs that scale with each unit sold).
4. Press Calculate.
5. Read contribution per unit, break-even units and break-even sales revenue.

Factors to consider

• Break-even units is rarely a whole number. Round up to the next whole unit for practical planning, since a business cannot sell a fraction of a unit.
• The selling price per unit must be greater than the variable cost per unit, or contribution is zero or negative and no sales volume can reach break-even.
• Fixed costs are treated as constant across the whole range of output modelled. In reality, a large enough jump in volume can require new fixed costs such as additional equipment or staff.
• This model estimates the point where revenue equals total cost. It does not include taxes or a target profit above break-even unless you adjust the fixed-cost figure to include one.

Useful for

• Commerce and business-mathematics students working through cost-volume-profit exercises.
• Checking how many units a new product needs to sell before it becomes profitable.
• Testing how a change in fixed costs, price or variable cost shifts the break-even point.
• Building a quick feasibility check before a fuller business plan is prepared.

What is the break-even point?

The break-even point is the sales volume at which total revenue equals total cost, so the business makes neither a profit nor a loss. Below that volume, fixed costs are not fully covered and the result is a loss; above it, each additional unit sold adds its contribution straight to profit.

Who can use this calculator?

It suits commerce, business-mathematics and BBA students studying cost-volume-profit analysis, as well as anyone planning a small business or a new product line who wants a quick estimate of the sales volume needed to cover fixed costs.

Common mistakes

A frequent mistake is placing a cost in the wrong category — treating a cost that actually varies with output (such as raw materials) as fixed, or a cost that stays constant regardless of volume (such as rent) as variable. Another is forgetting to round break-even units up to a whole unit, which slightly understates the sales volume genuinely needed. Finally, students sometimes read a positive break-even units figure as proof of profitability; it only marks the point where profit becomes zero, not a guaranteed outcome.

Frequently asked questions