You live in a town with 300 adults and 200 children, and you are thinking about putting on a play to entertain your neighbors and make some money. A play has a fixed cost of $2000, but selling an extra ticket has zero marginal cost. Here are the demand schedules for your two types of customers: Price ($) 10 9 8 7 6 Adults (tickets) 0 100 200 300 300 Children (tickets) 0 0 0 0 0

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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You live in a town with 300 adults and 200
children, and you are thinking about putting
on a play to entertain your neighbors and
make some money. A play has a fixed cost of
$2000, but selling an extra ticket has zero
marginal cost. Here are the demand
schedules for your two types of customers:
Price ($)
10
9
8
7
6
5
4
3
2
1
0
Adults (tickets)
0
100
200
300
300
300
300
300
300
300
300
Children
(tickets)
0
0
0
0
0
100
200
200
200
200
200
a) To maximize profit, what price would you
charge for an adult ticket? For a child's ticket?
How much profit do you make?
b) The city council has passed a law
prohibiting you from charging different prices
to different customers. What price do you set
for a ticket now? How much profit do you
make?
c) Who is worse off because of the law
prohibiting price discrimination? Who is
better off? Quantify the change in welfare if
possible.
d) If the fixed cost of the play were $2500
rather than $2000, how would your answers
to part (a), (b) and (c) change?
Transcribed Image Text:You live in a town with 300 adults and 200 children, and you are thinking about putting on a play to entertain your neighbors and make some money. A play has a fixed cost of $2000, but selling an extra ticket has zero marginal cost. Here are the demand schedules for your two types of customers: Price ($) 10 9 8 7 6 5 4 3 2 1 0 Adults (tickets) 0 100 200 300 300 300 300 300 300 300 300 Children (tickets) 0 0 0 0 0 100 200 200 200 200 200 a) To maximize profit, what price would you charge for an adult ticket? For a child's ticket? How much profit do you make? b) The city council has passed a law prohibiting you from charging different prices to different customers. What price do you set for a ticket now? How much profit do you make? c) Who is worse off because of the law prohibiting price discrimination? Who is better off? Quantify the change in welfare if possible. d) If the fixed cost of the play were $2500 rather than $2000, how would your answers to part (a), (b) and (c) change?
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