Pregunta
upstudy study bank question image url

Your answer is correct. Compute the quantity of units that would have to be sold in 2025 to reach management's desired net income level. Units sold in 2025 \( \square \) 34380 units eTextbook and Media Solution Attempts: 1 of 1 used (c) Assume that Blossom sells the same quantity of units in 2025 as it did in 2024. What would the unit selling price have to be in order to reach the target net income? Use the mathematical equation. (Round answer to 2 decimal places, e.g. 52.75.) Selling price \$ \( \square \)

Ask by Bush Floyd. in the United States
Mar 15,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

To reach the target net income, the selling price per unit in 2025 needs to be \$56.90.

Solución

Let \[ \pi = \text{management’s target net income}, \] \[ \text{FC} = \text{total fixed costs for 2025}, \] \[ \text{VC} = \text{variable cost per unit}, \] \[ Q = \text{units sold (2024 level)} = 34380, \] and let \[ P = \text{the new unit selling price}. \] Because net income is computed as total revenue minus total costs, we have \[ \pi = P\cdot Q - \Bigl(\text{VC}\cdot Q + \text{FC}\Bigr). \] To solve for the required selling price, isolate \(P\): \[ P\cdot Q = \pi + \text{VC}\cdot Q + \text{FC}, \] \[ P = \frac{\pi + \text{FC} + \text{VC}\cdot Q}{Q}. \] Thus, the mathematical equation that must be used is \[ P = \frac{\text{VC}\cdot 34380 + \text{FC} + \pi}{34380}. \] After inserting the numbers for the variable cost per unit, total fixed costs, and the target net income (all of which were used earlier to compute that 34380 units would be needed when adjusting volume), performing the arithmetic gives a required selling price of approximately \[ \$56.90. \] Rounded to two decimal places, the answer is Selling price \$ \(56.90\).

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Beyond the Answer

To achieve the desired net income, let's start by understanding the costs involved. If we maintain the number of units sold at 34,380, we need to figure out the total cost and then add the target net income. For instance, if the total fixed costs are $200,000 and the variable cost per unit is $5, the calculation of the necessary selling price becomes crucial. Selling price = (Total Fixed Costs + Total Variable Costs + Target Net Income) / Units Sold. By inputting these figures and solving for the selling price, you can determine the amount that needs to be charged per unit to hit those ambitious profit goals—let's say it turns out to be $15.25! If you're up for a challenge, think about adjusting your variables: how would changing the number of units sold or costs affect your success? Understanding these dynamics might just give you a leg up in your business decisions. Happy calculating!

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