The Star Theater is the only movie theater in Hollywood, SC, and therefore it has price-setting power. The Star Theater has two distinct types of customers: (i) senior citizens and (ii) non-senior citizens. The demand curve among senior citizens is: y₁ = 100-10p₁, for p₁ 10, where y₁ is the number of seats demanded by senior citizens at a senior citizen ticket price of p1. The demand curve among non-senior citizens is: y2 = 140-10p2, for p2 14, where y2 is the number of seats demanded by non-senior citizens at a non-senior citizen ticket price of p2. The Star Theater's cost function is C(31, 32) = C(y1 + y2) = F + (y1 + y2), where F is the fixed cost of operating the theater and y₁ and y2 are (as already defined) the number of senior citizen and non-senior citizen customers, respectively. By how much does the Star Theater increase profits if it operates as a third-degree price discriminator instead of as a single-price monopolist? $0 $10 $20 $30

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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The Star Theater is the only movie theater in Hollywood, SC, and therefore it has price-setting
power. The Star Theater has two distinct types of customers: (i) senior citizens and (ii) non-senior
citizens.
The demand curve among senior citizens is: y₁ = 100-10p₁, for p₁ 10, where y₁ is the
number of seats demanded by senior citizens at a senior citizen ticket price of p1.
The demand curve among non-senior citizens is: y2 = 140-10p2, for p2 14, where y2 is the
number of seats demanded by non-senior citizens at a non-senior citizen ticket price of p2.
The Star Theater's cost function is C(31, 32) = C(y1 + y2) = F + (y1 + y2), where F is the
fixed cost of operating the theater and y₁ and y2 are (as already defined) the number of senior
citizen and non-senior citizen customers, respectively.
By how much does the Star Theater increase profits if it operates as a third-degree price
discriminator instead of as a single-price monopolist?
$0
$10
$20
$30
Transcribed Image Text:The Star Theater is the only movie theater in Hollywood, SC, and therefore it has price-setting power. The Star Theater has two distinct types of customers: (i) senior citizens and (ii) non-senior citizens. The demand curve among senior citizens is: y₁ = 100-10p₁, for p₁ 10, where y₁ is the number of seats demanded by senior citizens at a senior citizen ticket price of p1. The demand curve among non-senior citizens is: y2 = 140-10p2, for p2 14, where y2 is the number of seats demanded by non-senior citizens at a non-senior citizen ticket price of p2. The Star Theater's cost function is C(31, 32) = C(y1 + y2) = F + (y1 + y2), where F is the fixed cost of operating the theater and y₁ and y2 are (as already defined) the number of senior citizen and non-senior citizen customers, respectively. By how much does the Star Theater increase profits if it operates as a third-degree price discriminator instead of as a single-price monopolist? $0 $10 $20 $30
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