Pregunta
upstudy study bank question image url

\begin{tabular}{l} If variable cost rises from \( \$ 60 \) to \( \$ 100 \) as output \\ increases from 15 to 20 units, the marginal cost of the \\ twentieth unit \\ \hline is \( \$ 100 \) \\ \hline is \( \$ 5 \) \\ \hline is \( \$ 40 \) \\ \hline is \( \$ 8 \) \\ \hline cannot be determined without total cost \\ \hline\end{tabular}

Ask by Pollard Bird. in the United States
Mar 14,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The marginal cost of the twentieth unit is \$8.

Solución

To determine the marginal cost of the twentieth unit, we can follow these steps: 1. **Identify the change in variable cost**: The variable cost rises from \( \$ 60 \) to \( \$ 100 \). Therefore, the change in variable cost (\( \Delta VC \)) is: \[ \Delta VC = VC_{new} - VC_{old} = 100 - 60 = 40 \] 2. **Identify the change in output**: The output increases from 15 units to 20 units. Therefore, the change in output (\( \Delta Q \)) is: \[ \Delta Q = Q_{new} - Q_{old} = 20 - 15 = 5 \] 3. **Calculate the marginal cost (MC)**: The marginal cost is defined as the change in variable cost divided by the change in output: \[ MC = \frac{\Delta VC}{\Delta Q} = \frac{40}{5} = 8 \] Thus, the marginal cost of the twentieth unit is \( \$ 8 \). The correct answer is: **is \( \$ 8 \)**.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

The Deep Dive

To find the marginal cost of the twentieth unit, we need to calculate the change in variable cost as output increases. The variable cost increases from \$60 to \$100, which is a change of \$40, and this occurs over an increase in output from 15 to 20 units (5 units in total). Thus, the marginal cost (MC) is calculated as: \[ MC = \frac{\Delta VC}{\Delta Q} = \frac{100 - 60}{20 - 15} = \frac{40}{5} = 8. \] So, the marginal cost of the twentieth unit is \$8. Consider this! In business, understanding your costs can make or break your profitability. Marginal cost highlights how much it costs to produce one more unit. If this cost is greater than the price you can charge, producing that extra unit might not be worth it. Keep a close eye on these numbers! Want to dive deeper? Look into the concept of economies of scale, where increasing production can sometimes lower the cost per unit. This can be a game-changer for businesses aiming to maximize efficiency and profitability. Plus, understanding fixed vs. variable costs can enhance your financial acumen!

preguntas relacionadas

Latest Economics Questions

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad