At a price of p dollars per ticket, the number of tickets to a rock concert that can be sold is given by the demand model N = -25p + 7800. At a price of p dollars per ticket, the number of tickets that the concert's promoters are willing to make available is given by the supply model N = 5p + 6000. a. How many tickets can be sold and supplied for $50 per ticket? b. Find the ticket price at which supply and demand are equal. At this price, how many tickets will be supplied and sold?

Macroeconomics
13th Edition
ISBN:9781337617390
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter3: Supply And Demand: Theory
Section3.3: The Market: Putting Supply And Demand Together
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At a price of p dollars per ticket, the number of tickets
to a rock concert that can be sold is given by the demand
model N = -25p + 7800. At a price of p dollars per
ticket, the number of tickets that the concert's promoters
are willing to make available is given by the supply model
N = 5p + 6000.
a. How many tickets can be sold and supplied for $50 per
ticket?
b. Find the ticket price at which supply and demand are
equal. At this price, how many tickets will be supplied
and sold?
Transcribed Image Text:At a price of p dollars per ticket, the number of tickets to a rock concert that can be sold is given by the demand model N = -25p + 7800. At a price of p dollars per ticket, the number of tickets that the concert's promoters are willing to make available is given by the supply model N = 5p + 6000. a. How many tickets can be sold and supplied for $50 per ticket? b. Find the ticket price at which supply and demand are equal. At this price, how many tickets will be supplied and sold?
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