Calculate Break Even Point Given Profit and Input

The break even point is the level of sales or production at which total revenue equals total costs. This calculator helps you determine the break even point when you know your desired profit and input costs.

What is Break Even Point?

The break even point is the point at which a business's total revenue equals its total costs. At this point, the business neither makes a profit nor incurs a loss. Understanding the break even point is crucial for financial planning and business strategy.

For businesses, knowing the break even point helps in setting realistic sales targets, pricing strategies, and cost management. It provides a clear benchmark to determine when a business will start generating profits.

Formula

The break even point can be calculated using the following formula:

Break Even Point Formula

Break Even Point = Fixed Costs + (Variable Cost per Unit × Quantity)

Where:

Fixed Costs = Total fixed costs
Variable Cost per Unit = Cost to produce one unit
Quantity = Number of units sold

Alternatively, if you know the desired profit and the contribution margin (selling price per unit minus variable cost per unit), you can use:

Break Even Point with Profit

Break Even Point = Fixed Costs / (Contribution Margin per Unit)

Where:

Contribution Margin per Unit = Selling Price per Unit - Variable Cost per Unit

How to Calculate

To calculate the break even point using the calculator on the right, follow these steps:

Enter your total fixed costs in the designated field.
Input the variable cost per unit.
Specify the desired profit amount.
Click the "Calculate" button to see the break even point.

The calculator will display the break even point in units and provide a visual representation of the break even point.

Example

Let's consider a business with the following details:

Fixed Costs: $10,000
Variable Cost per Unit: $50
Desired Profit: $20,000

Using the formula:

Example Calculation

Contribution Margin per Unit = Selling Price per Unit - Variable Cost per Unit

Break Even Point = Fixed Costs / Contribution Margin per Unit

Break Even Point = $10,000 / ($100 - $50) = $10,000 / $50 = 200 units

This means the business needs to sell 200 units to break even and achieve the desired profit of $20,000.

Interpretation

The break even point calculated by this tool indicates the minimum number of units that must be sold to cover all costs and achieve the desired profit. This information is valuable for setting sales targets and pricing strategies.

If the break even point is high, it may indicate that the business needs to reduce costs or increase selling prices to achieve profitability. Conversely, a low break even point suggests that the business can achieve profitability with relatively low sales volumes.

FAQ

What is the difference between fixed and variable costs?: Fixed costs are expenses that do not change with the level of production, such as rent and salaries. Variable costs vary directly with the level of production, such as raw materials and labor costs.
How does the break even point affect business strategy?: The break even point helps businesses set realistic sales targets and pricing strategies. It provides a clear benchmark to determine when a business will start generating profits.
Can the break even point be negative?: No, the break even point cannot be negative. It represents the point at which total revenue equals total costs, and at this point, the business neither makes a profit nor incurs a loss.
How does the desired profit affect the break even point?: The desired profit directly affects the break even point. A higher desired profit will result in a higher break even point, as the business needs to sell more units to cover costs and achieve the desired profit.
What factors can influence the break even point?: Several factors can influence the break even point, including changes in fixed costs, variable costs, selling prices, and production levels. Businesses should regularly review and adjust their break even point calculations to reflect changes in these factors.