Suppose that the movie theater can identify which students are domestic and which students are international, and students are unable to resell movie tickets to each other. This enables the theater to charge different prices to domestic vs international students. How do the cinema's profits change with this new pricing strategy? In other words, how much are the profits with uniform pricing, minus the profits with differentiated pricing?

ENGR.ECONOMIC ANALYSIS
14th Edition
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Chapter1: Making Economics Decisions
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The movie theater in Glendon has two types of customers: domestic students (group 1) and
international students (group 2). At a price of p, cents, the number of movie tickets that domestic
students are willing to buy per year is given by: q₁-170-0.7p₁. At a price of p₂ cents, the number of movie
tickets that international students are willing to buy per year is given by: q₂-87-0.3p2. The total costs for
the movie theater depend on the total number of tickets sold, 9₁+92, and are given by the following total
cost function C(q₁+q₂)=(9₁ +9₂) ².
Suppose that the movie theater can identify which students are domestic and which students are
international, and students are unable to resell movie tickets to each other. This enables the theater to
charge different prices to domestic vs international students.
How do the cinema's profits change with this new pricing strategy? In other words, how much are the
profits with uniform pricing, minus the profits with differentiated pricing?
Transcribed Image Text:The movie theater in Glendon has two types of customers: domestic students (group 1) and international students (group 2). At a price of p, cents, the number of movie tickets that domestic students are willing to buy per year is given by: q₁-170-0.7p₁. At a price of p₂ cents, the number of movie tickets that international students are willing to buy per year is given by: q₂-87-0.3p2. The total costs for the movie theater depend on the total number of tickets sold, 9₁+92, and are given by the following total cost function C(q₁+q₂)=(9₁ +9₂) ². Suppose that the movie theater can identify which students are domestic and which students are international, and students are unable to resell movie tickets to each other. This enables the theater to charge different prices to domestic vs international students. How do the cinema's profits change with this new pricing strategy? In other words, how much are the profits with uniform pricing, minus the profits with differentiated pricing?
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