A movie theater as a local monopoly faces two groups of moviegoers, students and nonstudents. The students' demand function for movie tickets is Qs = 200 – 20ps, and the non-students' demand function is Qn = 100- 5pn. The theater incurs zero marginal cost of serving additional customer, but there is a fixed cost of showing a movie at $100. The movie theater charges a uniform ticket price to both students and non- students. (i) Sum the demand functions of the two groups of moviegoers. (ii) To maximize profit, how many tickets will be sold to students and non-students and at what price? (iii) What will be the movie theater's profit from uniform pricing?
A movie theater as a local monopoly faces two groups of moviegoers, students and nonstudents. The students' demand function for movie tickets is Qs = 200 – 20ps, and the non-students' demand function is Qn = 100- 5pn. The theater incurs zero marginal cost of serving additional customer, but there is a fixed cost of showing a movie at $100. The movie theater charges a uniform ticket price to both students and non- students. (i) Sum the demand functions of the two groups of moviegoers. (ii) To maximize profit, how many tickets will be sold to students and non-students and at what price? (iii) What will be the movie theater's profit from uniform pricing?
Chapter14: Monopoly
Section: Chapter Questions
Problem 14.6P
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![A movie theater as a local monopoly faces two groups of moviegoers, students and
nonstudents. The students' demand function for movie tickets is Qs = 200 - 20ps,
and the
non-students' demand function is Qn = 100 – 5pn. The theater incurs zero marginal
cost of serving additional customer, but there is a fixed cost of showing a movie at
$100. The movie theater charges a uniform ticket price to both students and non-
students.
(i) Sum the demand functions of the two groups of moviegoers.
(ii) To maximize profit, how many tickets will be sold to students and non-students
and at what price?
(iii) What will be the movie theater's profit from uniform pricing?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5953945f-7d3c-49e0-a3b4-2c1e486a0229%2F76744e84-dd59-42d1-b2bc-a6b0c0f1b153%2Fvyea0qq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A movie theater as a local monopoly faces two groups of moviegoers, students and
nonstudents. The students' demand function for movie tickets is Qs = 200 - 20ps,
and the
non-students' demand function is Qn = 100 – 5pn. The theater incurs zero marginal
cost of serving additional customer, but there is a fixed cost of showing a movie at
$100. The movie theater charges a uniform ticket price to both students and non-
students.
(i) Sum the demand functions of the two groups of moviegoers.
(ii) To maximize profit, how many tickets will be sold to students and non-students
and at what price?
(iii) What will be the movie theater's profit from uniform pricing?
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