Break-even point (BEP) is the point where total costs equal total revenue. Break-even analysis focuses on finding the margin of safety, which indicates how much revenues exceed costs. This involves determining how much revenues exceed fixed costs and variable costs. The break-even point in units can be found using the formula:
$$BEP_{units}=\frac{F}{P_{i}-V_{i}}$$
Fβ fixed costs;
Piβ selling price per unit of product or service;
Viβ variable cost per unit.
Since the denominator of the above formula essentially represents the contribution margin per unit, the formula can also be expressed as:
$$BEP_{units}=\frac{F}{CM_{i}}$$
FCβ fixed costs;
CMiβ contribution margin per unit.
The break-even point in monetary terms can be expressed with the following formula:
$$BEP_{euros}=P_{i}\times BEP_{units}$$
Piβ selling price per unit of product or service.
This indicates the necessary revenue level to reach profitability. The required sales volume to achieve the desired profit can be further determined using the formula:
$$Q_{EP}=\frac{EP}{CM_{i}+BEP_{units}}$$
EPβ expected profit;
CMiβ contribution margin per unit.
The break-even point is the sales level where total revenue equals total costs.
Use fixed costs divided by selling price per unit minus variable cost per unit.