A 40% contribution margin ratio means every dollar of sales revenue contributes 40% toward covering fixed costs
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Disclaimer
This calculator provides estimates for informational purposes only and does not constitute financial, medical, legal, or tax advice. Always consult a qualified professional about your specific situation.
How This Calculator Works
The break-even point is the number of units a business must sell before its fixed costs are
fully covered by the profit earned on each sale. Enter your fixed costs, the price you sell
each unit for, and the variable cost of producing one more unit, and this calculator finds how
many units — and how much revenue — you need before you start making a profit.
Every unit sold contributes a little toward paying off your fixed costs. That contribution is the
selling price minus the variable cost of making that one unit, called the contribution
margin. Once enough units have been sold that their combined contribution exactly equals the
fixed costs, you’ve broken even — every unit sold after that is pure profit (before tax).
The Formula
Break-Even Units=P−VF
where F is total fixed costs, P is the price per unit, and V is the
variable cost per unit. The denominator, P−V, is the contribution margin —
expressed as a percentage of price, it’s the contribution margin ratio:
Contribution Margin Ratio=PP−V×100
Multiplying the break-even unit count by the price per unit gives the break-even revenue — the
total sales dollars, rather than the unit count, needed to cover fixed costs.
Worked Example
A business has $10,000 in fixed costs, sells each unit for $50, and each unit costs $30
to make:
Contribution margin: 50−30=$20 per unit.
Contribution margin ratio: $20÷50×100=40%.
Break-even units: 10,000÷$20=500 units.
Break-even revenue: 500×50=$25,000.
Selling fewer than 500 units means a loss for the period; selling more than 500 means a profit of
$20 for every additional unit sold beyond that point.
Cómo funciona esta calculadora
El punto de equilibrio es la cantidad de unidades que un negocio debe vender antes de que sus
costos fijos queden completamente cubiertos por la ganancia obtenida en cada venta. Ingresa tus
costos fijos, el precio al que vendes cada unidad y el costo variable de producir una unidad más,
y esta calculadora determina cuántas unidades — y cuántos ingresos — necesitas antes de comenzar a
generar ganancias.
Cada unidad vendida contribuye un poco a pagar tus costos fijos. Esa contribución es el precio de
venta menos el costo variable de fabricar esa unidad, llamada margen de contribución. Una vez
que se han vendido suficientes unidades como para que su contribución combinada iguale exactamente
los costos fijos, has alcanzado el punto de equilibrio — cada unidad vendida después de eso es
ganancia pura (antes de impuestos).
La fórmula
Unidades de equilibrio=P−VF
donde F es el total de costos fijos, P es el precio por unidad, y V es
el costo variable por unidad. El denominador, P−V, es el margen de
contribución — expresado como un porcentaje del precio, es la razón de margen de
contribución:
Razoˊn de margen de contribucioˊn=PP−V×100
Multiplicar el número de unidades de equilibrio por el precio por unidad da los ingresos de
equilibrio — el total de ventas en dólares, en lugar del número de unidades, necesario para
cubrir los costos fijos.
Ejemplo resuelto
Un negocio tiene $10,000 en costos fijos, vende cada unidad en $50, y cada unidad le
cuesta $30 fabricar:
Margen de contribución: 50−30=$20 por unidad.
Razón de margen de contribución: $20÷50×100=40%.
Unidades de equilibrio: 10,000÷$20=500 unidades.
Ingresos de equilibrio: 500×50=$25,000.
Vender menos de 500 unidades significa una pérdida para el período; vender más de 500 significa
una ganancia de $20 por cada unidad adicional vendida más allá de ese punto.
The break-even point is the sales volume at which total revenue exactly equals total costs — neither a profit nor a loss. Sell fewer units than that and you're operating at a loss; sell more and each additional unit is profit.
What is contribution margin, and why does it matter here?
Contribution margin is the price per unit minus the variable cost of making that one unit — what's left over to put toward fixed costs (and, once those are covered, profit). It's the number the break-even formula actually divides fixed costs by, since it's the only part of the sale price that changes anything as volume changes.
What if my price doesn't cover my variable cost?
Then every unit you sell loses money, and no sales volume can ever recover your fixed costs — there's no break-even point at all in that situation. This calculator flags it rather than returning a misleading number. You'd need to raise the price, lower the variable cost, or both.
Does this account for taxes?
No — this is a break-even analysis on revenue versus costs before tax, the standard way break-even is calculated. Taxes reduce your real-world profit once you're past break-even, but they don't change the break-even point itself.
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