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 $_____.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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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 $_____.

 
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