Dr. Hayes holds a Doctorate in Business Economics and specializes in break-even analysis and setting floor prices for profitability.
The **Break-Even Selling Price Calculator** is a critical tool for pricing strategy. It determines the minimum **Selling Price (P)** required per unit to cover all fixed and variable costs, given a specific sales quantity (**Q**). At this price, the business achieves zero net profit. Enter any three of the four key variables—**Fixed Costs (F)**, **Price (P)**, **Variable Cost (V)**, or **Quantity (Q)**—to instantly solve for the missing one.
Break-Even Selling Price Calculator
Break-Even Selling Price Formula
The calculation is derived from the core CVP equation ($F = Q \times (P – V)$), assuming Target Profit is zero, by isolating the Price (P) variable:
$$P = \frac{F}{Q} + V \quad \text{(Solve for Break-Even Price)}$$
$$F = Q \times (P – V) \quad \text{(Solve for Fixed Costs)}$$
$$V = P – \frac{F}{Q} \quad \text{(Solve for Variable Cost)}$$
$$Q = \frac{F}{P – V} \quad \text{(Solve for Quantity)}$$
Formula Source: Investopedia – Break-Even PointKey Variables Explained
- **F (Fixed Costs):** The total costs that must be covered by sales. For break-even, this is the total margin goal (Target Profit is zero).
- **P (Price):** The minimum unit selling price required to break even at a given volume.
- **V (Variable Cost):** The cost incurred per unit of product.
- **Q (Quantity):** The expected or target number of units to be sold.
Related Financial Planning Calculators
Use these specialized calculators to manage your home loan affordability and cash flow:
- Mortgage Payment Calculator with HOA Fees
- Calculating Maximum Monthly Rent vs Buy
- How Much is $100,000 Mortgage Per Month
- Mortgage Payment Calculator for a $250k House
What is Break-Even Selling Price?
The Break-Even Selling Price is the lowest price point a business can charge for its product or service that results in zero net profit, assuming a specified level of sales volume. This price covers the Variable Cost per unit and also contributes enough margin to cover all Fixed Costs exactly.
This metric is critical for establishing a safe “price floor.” Selling below the Break-Even Price means the business will automatically incur a loss. It is a more flexible metric than the Break-Even Quantity because it allows management to adjust pricing based on market elasticity while maintaining a target volume, rather than relying on volume alone.
How to Calculate Break-Even Selling Price (Example)
-
Identify Fixed Costs (F)
A business determines its Fixed Costs (F) are $50,000.
-
Set Variable Cost (V) and Target Quantity (Q)
The Variable Cost (V) is $20 per unit. The company expects to sell 1,667 units (Q).
-
Calculate Required Fixed Cost Per Unit ($F/Q$)
Divide the Fixed Costs by the Quantity: $50,000 / 1,667 units $\approx$ $30.00. Each unit must contribute $30 toward fixed costs.
-
Calculate Break-Even Selling Price (P)
Add the Fixed Cost Per Unit to the Variable Cost: $30.00 + $20.00 (V) = **$50.00**. This is the minimum price required to break even.
Frequently Asked Questions
The BEQ calculator solves for the sales volume (Q) needed to break even, given the Price (P). This calculator solves for the Price (P) needed to break even, given the sales volume (Q).
What if the required price is less than the Variable Cost (V)?This is impossible. If the Variable Cost (V) is greater than the calculated price (P), it means your costs are too high or your sales quantity (Q) is too low to cover even the basic variable costs, and the formula would result in an error or a non-sensical output.
Can this calculator solve for the price needed to achieve a target profit?No. This calculator assumes Target Profit is zero (Break-Even). For a tool that includes a profit target, please use the **Required Selling Price Calculator**.
Does the break-even price change if the Fixed Costs (F) increase?Yes. If Fixed Costs increase, the required fixed cost per unit ($F/Q$) increases, which directly raises the required Break-Even Selling Price (P).