A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand. Total cost = fixed cost + Variable cost, TC = CF + CV Revenue = Demand x Price, TR = D x P Profit = Total Revenue – Total Cost, P = TR – TC a) Develop the equations for the total cost and total revenue. b) Find the breakeven quantity c) How many units must be sold to maximize profit? d) What is the company’s maximum profit
A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand. Total cost = fixed cost + Variable cost, TC = CF + CV Revenue = Demand x Price, TR = D x P Profit = Total Revenue – Total Cost, P = TR – TC a) Develop the equations for the total cost and total revenue. b) Find the breakeven quantity c) How many units must be sold to maximize profit? d) What is the company’s maximum profit
Chapter6: Proudction Costs
Section: Chapter Questions
Problem 8SQP
Related questions
Question
A small company manufactures a certain product. Variable costs are $20 per unit and fixed costs are $10,875. The price demand relationship for this product is
P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand. Total cost = fixed cost + Variable cost, TC = CF + CV
Revenue = Demand x Price, TR = D x P
Profit = Total Revenue – Total Cost, P = TR – TC
a) Develop the equations for the total cost and total revenue.
b) Find the breakeven quantity
c) How many units must be sold to maximize profit?
d) What is the company’s maximum profit?
![10. A small company manufactures a certain product. Variable costs are $20 per unit and fixed
costs are $10,875. The price demand relationship for this product is
P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand.
Total cost = fixed cost + Variable cost, TC = CF + Cv
Revenue = Demand x Price, TR = D x P
Profit = Total Revenue – Total Cost, P = TR – TC
a) Develop the equations for the total cost and total revenue.
b) Find the breakeven quantity
c) How many units must be sold to maximize profit?
d) What is the company's maximum profit?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1296c196-158c-4a2c-9587-82b5996e9fed%2F8ef0309f-40e3-4eed-87b0-fbef31b357fe%2F2hwycvm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10. A small company manufactures a certain product. Variable costs are $20 per unit and fixed
costs are $10,875. The price demand relationship for this product is
P = -0.25D + 250, where P is the unit sales price of the product and D is the annual demand.
Total cost = fixed cost + Variable cost, TC = CF + Cv
Revenue = Demand x Price, TR = D x P
Profit = Total Revenue – Total Cost, P = TR – TC
a) Develop the equations for the total cost and total revenue.
b) Find the breakeven quantity
c) How many units must be sold to maximize profit?
d) What is the company's maximum profit?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
If Redstone wishes to maximize its profit margin, how many units should it produce?
Solution
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Survey Of Economics](https://www.bartleby.com/isbn_cover_images/9781337111522/9781337111522_smallCoverImage.gif)
![Micro Economics For Today](https://www.bartleby.com/isbn_cover_images/9781337613064/9781337613064_smallCoverImage.gif)
![Managerial Economics: Applications, Strategies an…](https://www.bartleby.com/isbn_cover_images/9781305506381/9781305506381_smallCoverImage.gif)
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning
![Survey Of Economics](https://www.bartleby.com/isbn_cover_images/9781337111522/9781337111522_smallCoverImage.gif)
![Micro Economics For Today](https://www.bartleby.com/isbn_cover_images/9781337613064/9781337613064_smallCoverImage.gif)
![Managerial Economics: Applications, Strategies an…](https://www.bartleby.com/isbn_cover_images/9781305506381/9781305506381_smallCoverImage.gif)
Managerial Economics: Applications, Strategies an…
Economics
ISBN:
9781305506381
Author:
James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:
Cengage Learning
![Managerial Economics: A Problem Solving Approach](https://www.bartleby.com/isbn_cover_images/9781337106665/9781337106665_smallCoverImage.gif)
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
![EBK HEALTH ECONOMICS AND POLICY](https://www.bartleby.com/isbn_cover_images/9781337668279/9781337668279_smallCoverImage.jpg)
![Microeconomics](https://www.bartleby.com/isbn_cover_images/9781337617406/9781337617406_smallCoverImage.gif)