If BMW were forced to charge the same price in each​ market, what would be the quantity sold in each​ market, the equilibrium​ price, and the​ company's profit? ​(round dollar amounts to the nearest penny and quantities to the nearest​ integer) To solve this​ problem, first find the combined market demand by horizontally summing the European and US demand​ curves: Q=QE+QU=4,000,000−100PE+1,500,000−20PU=5,500,000−120P ​Thus, inverse demand​ is: P=5,500,000120−1120Q   ​(To avoid rounding​ problems, do not convert the fractions to��� decimals) The equilibrium price would be $_______ and BMW would sell _____cars in Europe and _____cars in the United States. BMW makes a profit of $_____.

Economics: Private and Public Choice (MindTap Course List)
16th Edition
ISBN:9781305506725
Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Chapter24: Price-searcher Markets With High Entry Barriers
Section: Chapter Questions
Problem 13CQ
icon
Related questions
Question
Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to $20,00 and a fixed cost of $10 billion. You are asked to advise the CEO as to what prices and quantities BMW should set for sales in Europe and in the United States. The demand for BMWs in each market is given by
 
QE=4,000,000−100PE
and
QU=1,500,000−20PU
 
where the subscript E denotes​ Europe, the subscript U denotes the United States. Assume that BMW can restrict U.S. sales to authorized BMW dealers only.  
 
a.  What quantity of BMWs should the firm sell in each​ market, and what should the price be in each​ market? What should the total profit​ be? ​ (round dollar amounts to the nearest penny and quantities to the nearest​ integer)

In Europe equilibrium quantity is 1,000,000 cars at an equilibrium price of $30,000

In United States equilibrium quantity is 550,000 cars at an equilibrium price of $47,500

BMW makes a total profit of $15.125 billion. 

I Need help with this part:

If BMW were forced to charge the same price in each​ market, what would be the quantity sold in each​ market, the equilibrium​ price, and the​ company's profit? ​(round dollar amounts to the nearest penny and quantities to the nearest​ integer)

To solve this​ problem, first find the combined market demand by horizontally summing the European and US demand​ curves:

Q=QE+QU=4,000,000−100PE+1,500,000−20PU=5,500,000−120P

​Thus, inverse demand​ is:

P=5,500,000120−1120Q  

​(To avoid rounding​ problems, do not convert the fractions to��� decimals)

The equilibrium price would be $_______ and BMW would sell _____cars in Europe and _____cars in the United States.

BMW makes a profit of $_____.

 
Expert Solution
steps

Step by step

Solved in 3 steps with 13 images

Blurred answer
Knowledge Booster
European Union
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Economics: Private and Public Choice (MindTap Cou…
Economics: Private and Public Choice (MindTap Cou…
Economics
ISBN:
9781305506725
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Microeconomics: Private and Public Choice (MindTa…
Microeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506893
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning