Break Even Analysis Calculate The Missing Information

Break even analysis is a fundamental financial concept used to determine the point at which a business's total revenue equals its total costs. This analysis helps businesses understand their financial health and make informed decisions about pricing, production, and operations. In this guide, we'll explain how to perform break even analysis and calculate any missing information when you have partial data.

What is Break Even Analysis?

The break even point is the level of sales at which total revenue equals total costs. At this point, the business neither makes a profit nor incurs a loss. Break even analysis helps businesses understand:

The minimum sales volume needed to cover all costs
How changes in costs or prices affect profitability
The impact of fixed and variable costs on operations

The break even point is calculated using the following formula:

Break Even Point (Units) = 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)
Variable Costs are costs that vary directly with the level of production (e.g., materials, labor)
Selling Price per Unit is the price at which each unit is sold

Calculating Missing Information

In many real-world scenarios, you may not have all the information needed to perform a complete break even analysis. Here are common situations and how to calculate the missing information:

1. Missing Fixed Costs

If you know the break even point, selling price, and variable cost, you can calculate fixed costs:

Fixed Costs = Break Even Point × (Selling Price per Unit - Variable Cost per Unit)

2. Missing Selling Price

If you know the break even point, fixed costs, and variable cost, you can calculate the selling price:

Selling Price per Unit = (Fixed Costs / Break Even Point) + Variable Cost per Unit

3. Missing Variable Cost

If you know the break even point, fixed costs, and selling price, you can calculate the variable cost:

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

4. Missing Break Even Point

If you know fixed costs, selling price, and variable cost, you can calculate the break even point:

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

Note: The selling price must always be greater than the variable cost for the break even point to be positive. If the selling price is less than or equal to the variable cost, the business cannot break even.

Example Calculation

Let's look at an example where we need to calculate the missing selling price:

Given:

Fixed Costs: $10,000
Variable Cost per Unit: $5
Break Even Point: 2,000 units

Find the Selling Price per Unit:

Selling Price per Unit = (Fixed Costs / Break Even Point) + Variable Cost per Unit

= ($10,000 / 2,000) + $5

= $5 + $5

= $10

Therefore, the business needs to sell each unit at $10 to reach the break even point of 2,000 units.

Frequently Asked Questions

What is the difference between fixed and variable costs?

Fixed costs remain constant regardless of production volume (e.g., rent, salaries). Variable costs change with production volume (e.g., materials, labor).

Can a business have a negative break even point?

No, a negative break even point means the selling price is less than or equal to the variable cost, making it impossible to break even.

How does break even analysis help in pricing decisions?

Break even analysis helps determine the minimum price needed to cover costs and start making a profit. It guides pricing strategies to ensure profitability.

What if I don't know all the values needed for break even analysis?

You can rearrange the break even formula to solve for any missing value. The calculator on this page can help you determine which values you need and how to calculate them.