The Collegetown movie theater serves 900 students and 100 professors in town.
Each student's willingness to pay for a movie ticket is \(\$ 5 .\) Each
professor's willingness to pay is \(\$ 10 .\) Each will buy only one ticket. The
movie theater's marginal cost per ticket is constant at \(\$ 3,\) and there is
no fixed cost.
a. Suppose the movie theater cannot price-discriminate and charges both
students and professors the same price per ticket. If the movie theater
charges \(\$ 5,\) who will buy tickets and what will the movie theater's profit
be? How large is consumer surplus?
b. If the movie theater charges \(\$ 10,\) who will buy movie tickets and what
will the movie theater's profit be? How large is consumer surplus?
c. Assume the movie theater can price-discriminate between students and
professors by requiring students to show their student ID, charging students
\(\$ 5\) and professors \(\$ 10\), how much profit will the movie theater make?
How large is consumer surplus?