How to Calculate The Break Even Quantity

The break even quantity is the point at which total revenue equals total costs, resulting in zero profit. Calculating this helps businesses determine how many units they need to sell to cover their expenses and start making a profit.

What is Break Even Quantity?

The break even quantity (also called break even point or break even sales volume) is the number of units a business must sell to cover all its costs and expenses. At this point, total revenue equals total costs, resulting in zero profit.

Understanding the break even quantity is crucial for businesses to plan production, pricing, and sales strategies. It helps determine the minimum sales volume needed to sustain operations and start generating profits.

Break Even Quantity Formula

Formula

Break Even Quantity = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)

Where:

Fixed Costs are expenses that do not change with the level of production (e.g., rent, salaries).
Selling Price per Unit is the price at which each unit is sold.
Variable Cost per Unit is the cost to produce each unit (e.g., materials, labor).

Important Note

The selling price per unit must be greater than the variable cost per unit. If it's not, the business cannot cover its variable costs and will never reach the break even point.

How to Calculate Break Even Quantity

Identify your fixed costs (e.g., rent, salaries).
Determine your selling price per unit.
Calculate your variable cost per unit (cost to produce each unit).
Subtract the variable cost per unit from the selling price per unit to find the contribution margin per unit.
Divide the fixed costs by the contribution margin per unit to find the break even quantity.

For example, if your fixed costs are $10,000, your selling price per unit is $20, and your variable cost per unit is $10, your contribution margin per unit is $10. The break even quantity would be $10,000 / $10 = 1,000 units.

Worked Example

Let's calculate the break even quantity for a company with the following details:

Fixed costs: $50,000
Selling price per unit: $50
Variable cost per unit: $30

Step 1: Calculate the contribution margin per unit.

$50 (selling price) - $30 (variable cost) = $20 contribution margin per unit.

Step 2: Calculate the break even quantity.

$50,000 (fixed costs) / $20 (contribution margin) = 2,500 units.

Therefore, the company needs to sell 2,500 units to break even.

Interpreting Results

The break even quantity tells you the minimum number of units you need to sell to cover all your costs. If you sell more than this quantity, you'll start making a profit. If you sell fewer, you'll operate at a loss.

Factors that can affect the break even quantity include:

Changes in fixed costs (e.g., rising rent).
Changes in variable costs (e.g., cheaper materials).
Changes in selling prices (e.g., discounts or price increases).

Regularly reviewing and adjusting your break even quantity helps you stay financially healthy and make informed business decisions.

FAQ

What is the difference between break even quantity and break even point?

Break even quantity refers to the number of units you need to sell, while break even point refers to the total sales revenue needed to cover costs. Both concepts are related but measured differently.

Can the break even quantity be negative?

No, the break even quantity cannot be negative. If your selling price per unit is less than or equal to your variable cost per unit, you cannot cover your costs and will never reach the break even point.

How does the break even quantity change with price increases?

Increasing your selling price per unit will decrease your break even quantity, meaning you'll need to sell fewer units to cover your costs and start making a profit.