Consider the following demand of tourists (T) and locals (L) for spots in a race: SQ" = 1,700 – 5p lQ! = 2,400 – 10p (p' = 340 – 0.2Q lp =D240-0.1Q %3D %3D %3D The marginal cost of the race organizer, the only seller of race spots in this market, is constant and equal to $100 for both tourists and locals: MC(Q) = 100 a. Find the profit-maximizing quantities and prices charged by the race organizer if they can practice group price discrimination, treating each group as a different market segment. What is the price for locals? And for tourists? What are the corresponding quantities Q and Q"? b. Graphically show the profit-maximization for the previous item. Carefully label all relevant points and curves. Hint: Use two different graphs. c. Suppose the organizer cannot price discriminate anymore (locals and tourists represent the same single market). Find the profit-maximizing quantity and price. Hint: To find the combined demand you must add the two segmented demands, that is, Q = Q" + Q' = 4,100 – 15p. %3D %3D
Consider the following demand of tourists (T) and locals (L) for spots in a race: SQ" = 1,700 – 5p lQ! = 2,400 – 10p (p' = 340 – 0.2Q lp =D240-0.1Q %3D %3D %3D The marginal cost of the race organizer, the only seller of race spots in this market, is constant and equal to $100 for both tourists and locals: MC(Q) = 100 a. Find the profit-maximizing quantities and prices charged by the race organizer if they can practice group price discrimination, treating each group as a different market segment. What is the price for locals? And for tourists? What are the corresponding quantities Q and Q"? b. Graphically show the profit-maximization for the previous item. Carefully label all relevant points and curves. Hint: Use two different graphs. c. Suppose the organizer cannot price discriminate anymore (locals and tourists represent the same single market). Find the profit-maximizing quantity and price. Hint: To find the combined demand you must add the two segmented demands, that is, Q = Q" + Q' = 4,100 – 15p. %3D %3D
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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
Transcribed Image Text:Consider the following demand of tourists (T) and locals (L) for spots in a race:
SQ" = 1,700 – 5p
lQ! = 2,400 – 10p
(p" = 340 – 0.2Q
lp =D240-0.1Q
%3D
%3D
%3D
The marginal cost of the race organizer, the only seller of race spots in this market, is constant
and equal to $100 for both tourists and locals: MC(Q) = 100
a. Find the profit-maximizing quantities and prices charged by the race organizer if they can
practice group price discrimination, treating each group as a different market segment. What is
the price for locals? And for tourists? What are the corresponding quantities Q and Q"?
b. Graphically show the profit-maximization for the previous item. Carefully label all relevant
points and curves. Hint: Use two different graphs.
c. Suppose the organizer cannot price discriminate anymore (locals and tourists represent the
same single market). Find the profit-maximizing quantity and price. Hint: To find the combined
demand you must add the two segmented demands, that is, Q = Q™ + Q' = 4,100 – 15p.
%3D
d. Graphically show the profit-maximization for the previous item. Carefully label all relevant
points and curves. Hint: Use only one graph.
e. Do the welfare analysis for this solution without price discrimination. Is the organizer better
off with or without price discrimination? Why?
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