10. 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 will-
ingness to pay for a movie ticket 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?
10. a. If the movie theater charges $5 per ticket, both students and professors will
buy tickets. The movie theater will sell to 1,000 customers (students and pro–
fessors), at a price of $5 each. Since the movie theater’s cost per ticket is $3,
its profit is $2 per ticket for a total profit of 1,000 × $2 = $2,000. Students
b. If the movie theater charges $10 per ticket, only professors will buy tickets.
The movie theater will sell to 100 customers (professors) at a price of $10 each.
Since the movie theater’s cost per ticket is $3, its profit is $7 per ticket for a
c. If the movie theater charges students a price of $5, it sells 900 tickets at a
profit of $5 – $3 = $2 each for a profit from selling to students of 900 × $2 =
$1,800. Charging professors $10, it sells 100 tickets at a profit of $10 – $3 = $7
11. A monopolist knows that in order to expand the quantity of output it produces
from 8 to 9 units it must lower the price of its output from $2 to $1. Calculate
the quantity effect and the price effect. Use these results to calculate the monop–
olist’s marginal revenue of producing the 9th unit. The marginal cost of produc-
ing the 9th unit is positive. Is it a good idea for the monopolist to produce the
9th unit?
11. The quantity effect is $1 (the increase in total revenue from selling the 9th unit
at $1). The price effect is 8 × (–$1) = –$8 (the decrease in total revenue from hav-
ing to lower the price of 8 units by $1 each). So the marginal revenue of produc–