How to Calculate Break Even Price per Unit

The break even price per unit is the price at which a business neither makes a profit nor incurs a loss. It's calculated by dividing total fixed costs by the difference between the number of units sold and the variable cost per unit.

What is Break Even Price Per Unit?

The break even price per unit is a key financial metric that helps businesses determine the minimum price they need to charge to cover all costs and avoid losses. It's particularly useful for pricing strategies, cost analysis, and financial planning.

Understanding the break even price helps businesses make informed decisions about pricing, production volumes, and cost control. It's a fundamental concept in cost accounting and financial management.

Break Even Price Formula

Break Even Price Per Unit = (Total Fixed Costs + (Break Even Quantity × Variable Cost Per Unit)) / Break Even Quantity

Where:

Total Fixed Costs = All costs that don't change with production volume
Break Even Quantity = Number of units needed to cover all costs
Variable Cost Per Unit = Cost that varies with each unit produced

The formula shows that the break even price depends on both fixed and variable costs. Fixed costs must be covered by sales, while variable costs are spread across each unit sold.

How to Calculate Break Even Price

Identify your total fixed costs (rent, salaries, equipment, etc.)
Determine your variable cost per unit (materials, labor, etc.)
Calculate the break even quantity (how many units you need to sell to cover costs)
Plug these values into the break even price formula
Calculate the result to find your break even price per unit

Remember that the break even price is the minimum price you need to charge to cover all costs. It doesn't account for profit margins or other business considerations.

Worked Example

Let's say you have a business with:

Total Fixed Costs = $10,000
Variable Cost Per Unit = $5
Break Even Quantity = 5,000 units

Using the formula:

Break Even Price = ($10,000 + (5,000 × $5)) / 5,000

= ($10,000 + $25,000) / 5,000

= $35,000 / 5,000

= $7 per unit

This means you need to sell each unit for at least $7 to cover all your costs when selling 5,000 units.

FAQ

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

The break even point refers to the quantity of units you need to sell to cover all costs, while the break even price is the minimum price per unit that allows you to reach that point.

How does pricing above the break even price affect profitability?

Pricing above the break even price means each unit sold contributes to profit after covering all costs. The higher the price above the break even point, the greater the profit margin.

Can fixed costs ever be zero?

In theory, yes, but in practice, most businesses have some fixed costs like rent or salaries. Even if fixed costs appear to be zero, there are often hidden costs that must be considered.