Four individuals who live around a camp are hosting separate chirstmas parties, and all are considering purchasing aerial fireworks; any fireworks purchased will be set off over the camp, and thus will be visible to everyone at all of the parties. Karl’s marginal benefit from having an additional package of fireworks (which includes the benefit to himself and all of his guests) is given by MBK = 300 – 5Q, Jessica is given by MBJ = 600 – 10Q, Lara’s is given by MBL = 900 – 15Q, and Emily’s is given by MBE = 1,200 – 20Q, where Q is the total number of packages of fireworks set off at all parties. Each package of fireworks costs $800 (i.e., MC = 800).      How many packages of fireworks will actually be set off if it is left to the free market?                                                                       How much deadweight loss will result if this activity is left to the free market (as in part b)?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.10P
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  1. Four individuals who live around a camp are hosting separate chirstmas parties, and all are considering purchasing aerial fireworks; any fireworks purchased will be set off over the camp, and thus will be visible to everyone at all of the parties. Karl’s marginal benefit from having an additional package of fireworks (which includes the benefit to himself and all of his guests) is given by MBK = 300 – 5Q, Jessica is given by MBJ = 600 – 10Q, Lara’s is given by MBL = 900 – 15Q, and Emily’s is given by MBE = 1,200 – 20Q, where Q is the total number of packages of fireworks set off at all parties. Each package of fireworks costs $800 (i.e., MC = 800).   

 

  1. How many packages of fireworks will actually be set off if it is left to the free market?                                                                      
  2. How much deadweight loss will result if this activity is left to the free market (as in part b)?
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