Subjects

Knowunity AI

Open the App

Subjects

EconomíaEconomía458 views·Updated Jun 17, 2026·1 page

Cómo calcular el punto muerto y el beneficio

_
_5ze9c@_5ze9c

El punto muerto es uno de los conceptos más importantes...

1
of 1
# FORMULAS ECONOMIA

EJERCICIOS PUNTO MUERTO

*   BENEFICIO (B°): 1+CT(€)
*   Ingresos (1): p xQ(€) Coste total (CT): CF + (CVme x Q)→(€)

Fórmulas del Punto Muerto en Economía

¿Te has preguntado alguna vez cuántos productos necesita vender una empresa para no perder dinero? El punto muerto o umbral de rentabilidad te da exactamente esa respuesta. Es la cantidad mágica donde los ingresos igualan a los costes totales.

La fórmula principal es súper sencilla: *Q = CF/pCVmep - CVme**. Aquí CF son los costes fijos, p es el precio y CVme el coste variable medio. Por encima de esta cantidad, la empresa gana pasta; por debajo, pierde dinero.

Los costes fijos son gastos que no cambian aunque produzcas más o menos (como el alquiler). Los costes variables medios son los gastos que varían según la producción divididos entre las unidades producidas.

💡 Truco clave: Los datos de CF, p y CVme no cambian entre apartados del mismo ejercicio a menos que te lo digan expresamente.

Para calcular el punto muerto en euros, simplemente multiplica Q* por el precio. El margen unitario pCVmep - CVme te dice cuánto ganas por cada unidad después de cubrir los costes variables.

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Most popular content: Economía

9

Most popular content in Economía

9

Most popular content

9

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.6/5App Store
4.7/5Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan SiOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha KlichAndroid user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

AnnaiOS user
EconomíaEconomía458 views·Updated Jun 17, 2026·1 page

Cómo calcular el punto muerto y el beneficio

_
_5ze9c@_5ze9c

El punto muerto es uno de los conceptos más importantes en economía empresarial que te ayudará a entender cuándo una empresa deja de perder dinero. Es la herramienta clave para saber cuántas unidades debe vender una empresa para no ganar...

1
of 1
# FORMULAS ECONOMIA

EJERCICIOS PUNTO MUERTO

*   BENEFICIO (B°): 1+CT(€)
*   Ingresos (1): p xQ(€) Coste total (CT): CF + (CVme x Q)→(€)

Sign up to see the content. It's free!

  • Access to all documents
  • Improve your grades
  • Join milions of students

Fórmulas del Punto Muerto en Economía

¿Te has preguntado alguna vez cuántos productos necesita vender una empresa para no perder dinero? El punto muerto o umbral de rentabilidad te da exactamente esa respuesta. Es la cantidad mágica donde los ingresos igualan a los costes totales.

La fórmula principal es súper sencilla: *Q = CF/pCVmep - CVme**. Aquí CF son los costes fijos, p es el precio y CVme el coste variable medio. Por encima de esta cantidad, la empresa gana pasta; por debajo, pierde dinero.

Los costes fijos son gastos que no cambian aunque produzcas más o menos (como el alquiler). Los costes variables medios son los gastos que varían según la producción divididos entre las unidades producidas.

💡 Truco clave: Los datos de CF, p y CVme no cambian entre apartados del mismo ejercicio a menos que te lo digan expresamente.

Para calcular el punto muerto en euros, simplemente multiplica Q* por el precio. El margen unitario pCVmep - CVme te dice cuánto ganas por cada unidad después de cubrir los costes variables.

We thought you’d never ask...

What is the Knowunity AI companion?

Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.

Where can I download the Knowunity app?

You can download the app in the Google Play Store and in the Apple App Store.

Is Knowunity really free of charge?

That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.

Most popular content: Economía

9

Most popular content in Economía

9

Most popular content

9

Can't find what you're looking for? Explore other subjects.

Students love us — and so will you.

4.6/5App Store
4.7/5Google Play

The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.

Stefan SiOS user

This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.

Samantha KlichAndroid user

Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.

AnnaiOS user