Suppose that the only movie theater in town has two types of customers, senior citizens and adults. The demand curve for senior citizens and adults are given by: Q₁ = 100 – P₁ Q₂ = 120 - 0.5P₂ Demand curve for senior citizens Demand curve for adults Where Q₁ denote the number of movie tickets purchased by senior citizens and Q₂ denote the number of movie ticket purchased by adults. The cost function for the movie theater is given by: TC = 2000 + 20 (Q₁ + Q₂) Suppose that the theater can charge two different prices and is going to apply the third-degree price discrimination as their pricing strategy: Total Cost of Production a. List and explain all the conditions necessary for third-degree price discrimination! b. (i) What prices will the movie theater charge and how many tickets will be sold to each type of consumer: (ii) Explain graphically your answer in part b(i, c. Now suppose that MC is rising, show graphically the case where third-degree price discrimination may not be profitable (Hint: Even if the third-degree price discrimination is feasible, the theater will not sell tickets to both groups of consumers
Suppose that the only movie theater in town has two types of customers, senior citizens and adults. The demand curve for senior citizens and adults are given by: Q₁ = 100 – P₁ Q₂ = 120 - 0.5P₂ Demand curve for senior citizens Demand curve for adults Where Q₁ denote the number of movie tickets purchased by senior citizens and Q₂ denote the number of movie ticket purchased by adults. The cost function for the movie theater is given by: TC = 2000 + 20 (Q₁ + Q₂) Suppose that the theater can charge two different prices and is going to apply the third-degree price discrimination as their pricing strategy: Total Cost of Production a. List and explain all the conditions necessary for third-degree price discrimination! b. (i) What prices will the movie theater charge and how many tickets will be sold to each type of consumer: (ii) Explain graphically your answer in part b(i, c. Now suppose that MC is rising, show graphically the case where third-degree price discrimination may not be profitable (Hint: Even if the third-degree price discrimination is feasible, the theater will not sell tickets to both groups of consumers
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
![Suppose that the only movie theater in town has two types of customers, senior citizens and adults. The
demand curve for senior citizens and adults are given by:
Q₁ = 100 - P₁
Q2 = 120 - 0.5P₂
Where Q₁ denote the number of movie tickets purchased by senior citizens and Q2 denote the number
of movie ticket purchased by adults. The cost function for the movie theater is given by:
TC 2000 + 20 (Q₁ + Q₂)
Suppose that the theater can charge two different prices and is going to apply the third-degree price
discrimination as their pricing strategy:
Demand curve for senior citizens
C.
Demand curve for adults
Total Cost of Production
a. List and explain all the conditions necessary for third-degree price discrimination!
b. (i) What prices will the movie theater charge and how many tickets will be sold to each type of
consumer:
(ii) Explain graphically your answer in part b(i,
Now suppose that MC is rising, show graphically the case where third-degree price
discrimination may not be profitable (Hint: Even if the third-degree price discrimination is
feasible, the theater will not sell tickets to both groups of consumers](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F15d4bd5a-5aec-4226-8111-77bf996698a8%2Fb5316417-1a12-4c0b-ba5e-c7c63ba89358%2Fprfcx9j.png&w=3840&q=75)
Transcribed Image Text:Suppose that the only movie theater in town has two types of customers, senior citizens and adults. The
demand curve for senior citizens and adults are given by:
Q₁ = 100 - P₁
Q2 = 120 - 0.5P₂
Where Q₁ denote the number of movie tickets purchased by senior citizens and Q2 denote the number
of movie ticket purchased by adults. The cost function for the movie theater is given by:
TC 2000 + 20 (Q₁ + Q₂)
Suppose that the theater can charge two different prices and is going to apply the third-degree price
discrimination as their pricing strategy:
Demand curve for senior citizens
C.
Demand curve for adults
Total Cost of Production
a. List and explain all the conditions necessary for third-degree price discrimination!
b. (i) What prices will the movie theater charge and how many tickets will be sold to each type of
consumer:
(ii) Explain graphically your answer in part b(i,
Now suppose that MC is rising, show graphically the case where third-degree price
discrimination may not be profitable (Hint: Even if the third-degree price discrimination is
feasible, the theater will not sell tickets to both groups of consumers
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