ROI Threshold Calculator
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Break-Even Summary ============================== Scenariusz: Handmade candle shop (monthly) Okres: per month Input data -------------- Fixed costs:4 200,00 zloty Variable cost per unit:6,80 zloty Price per unit:18,00 zloty Docelowy zysk: 1 500,00 zloty Rounding:Up to full units Contribution margin ------------- Contribution margin per unit:11,20 zloty Contribution margin ratio:62.2% Results ------ Units at the break-even point:375 Revenue at break-even point:6 750,00 zloty Taking into account the target profit --------------------------------- Potrzebne jednostki: 509 Income needed:9 162,00 zloty Notatki ------- Fixed costs include rent, insurance and software. Variable costs include the wax, wick, jar, label, and payment fees for the candle.
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Other tools you may find usefulBreak-even point (BEP) calculator – a key concept in business planning
Break-even point (BEP –Break-Even Point) is one of the most important financial indicators in business management. It means a situation in which revenues from the sale of products or services exactly cover all costs incurred (fixed and variable). At this point, the company's financial result is exactly zero - the company does not make losses, but does not yet generate profits. Calculating the break-even point is an absolute necessity when creating a business plan, pricing products, planning investments or applying for bank loans and subsidies. It allows you to determine the minimum sales volume necessary for the company to survive on the market.
Our professional online break-even calculator allows you to quickly calculate the quantitative value (how many pieces of goods you need to sell) and the value value (how much turnover in PLN you need to achieve) to balance your expenses. Additionally, the calculator determines the contribution margin and the margin rate, which allows you to assess the profitability of individual products in the company's portfolio.
Summary of fixed and variable costs in the company
To correctly calculate the break-even point, all company expenses should be precisely divided into two main cost categories:
| Cost category | Definition and characteristics | Classic examples in the company | Behavior when increasing production |
|---|---|---|---|
| Fixed costs (Fixed Costs - FC) | Expenses that a company must incur regardless of production volume or sales volume. | Rent for the premises, leasing installments, insurance, fixed salaries of the administration. | The sum of fixed costs remains unchanged (the fixed cost per item decreases). |
| Variable Costs (VC) | Expenses directly related to the amount of products produced or services provided. | Raw materials, production materials, sales commissions, packaging and courier costs. | The sum of variable costs increases in proportion to the increase in production volume. |
Mathematical formula for the break-even point and contribution margin
The mathematical determination of the break-even point is based on simple linear relationships. There are two basic approaches:
- Unit contribution margin (m):The difference between the net selling price and the unit variable cost: \(m = P - VC_{units}\), where \(P\) is the price and \(VC_{units}\) is the unit variable cost. It informs what part of the price from the sale of one item covers fixed costs.
- Quantitative break-even point (quantitative BEP):Specifies the minimum number of units of the product that must be sold: \(BEP_{quantity} = \frac{FC}{P - VC_{unit}}\), where \(FC\) is the sum of fixed costs.
- Break-even point in value (BEP in value):Defines the minimum financial turnover that the company must generate: \(BEP_{value} = \frac{FC}{1 - \frac{VC_{unit}}{P}}\).
How to calculate the break-even point step by step? Practical instruction
Let's say you produce artisan scented candles. Here's how to determine the break-even point for this business:
- Add up the fixed costs (FC):The rent for the studio, utilities and fixed software totals PLN 3,000 per month.
- Determine the price and unit variable costs:You sell a candle for PLN 50 net (\(P=50\)). The cost of wax, wick, oil and jar for one candle is PLN 20 (\(VC=20\)).
- Calculate the contribution margin:\(m = 50 - 20 = 30\) PLN. Each candle sold brings PLN 30 to cover fixed costs.
- Calculate BEP quantity:Divide fixed costs by margin: \(\frac{3000}{30} = 100\) units. To break even, you need to sell exactly 100 candles a month. The 101st candle will bring the first profit (PLN 30).
Frequently asked questions (FAQ)
What is a contribution margin?
Contribution margin (excess coverage) is the amount that remains from the sale of a product after deducting variable costs. It is used primarily to cover the company's fixed costs, and after reaching the break-even point, it generates pure operating profit.
How to lower the break-even point in your company?
The break-even point can be lowered in three ways: by reducing fixed costs (e.g. cheaper rental), by reducing unit variable costs (e.g. cheaper raw materials for larger orders) or by increasing the selling price of the product (which increases the contribution margin).
What happens after the break-even point is exceeded?
After exceeding the break-even point, the company begins to generate net profit. Each subsequent unit sold increases the profit by exactly the value of the unit contribution margin (price minus variable cost).
What is the difference between BEP and ROI?
BEP (Break-Even Point) determines the moment at which current revenues balance current operating costs. ROI (Return on Investment) is an investment profitability indicator that measures the rate of return on the initial capital invested (e.g. how long will it take to pay off the purchase of a production machine).
Does the break-even point include taxes?
The standard break-even point is based on net amounts (excluding VAT) and refers to operating profit before income tax (EBIT). However, you can calculate the so-called tax break-even point, taking into account the income tax rate.