Suppose that the demand for a concert is represented by the following equation, where P is the price of concert tickets and QD is the quantity of tickets demanded:QD = 2200  - 24PThe supply of tickets is represented by the equation where P is the price of the tickets and QS is the quantity of tickets supplied:QS = -500 +79PGive all answers to two decimals. 1.  Find the equilibrium price and quantity of tickets sold.  2.  Calculate the consumer surplus and producer surplus at the equilibrium price and quantity. Use the formula for the area of a triangle, (½ × base × height), to calculate each value.

Macroeconomics
13th Edition
ISBN:9781337617390
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter3: Supply And Demand: Theory
Section: Chapter Questions
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Suppose that the demand for a concert is represented by the following equation, where P is the price of concert tickets and QD is the quantity of tickets demanded:

QD = 2200  - 24P

The supply of tickets is represented by the equation where P is the price of the tickets and QS is the quantity of tickets supplied:

QS = -500 +79P

Give all answers to two decimals.

1.  Find the equilibrium price and quantity of tickets sold. 

2.  Calculate the consumer surplus and producer surplus at the equilibrium price and quantity. Use the formula for the area of a triangle, (½ × base × height), to calculate each value.

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