1) Given the below functions for supply and demand: Supply: P= In (Q³ - 2) Demand: P = 18e-arctan (QD) a) Find the total welfare using the market equilibrium condition (to find the equilibrium point you need to use Newton's method at some point): b) Find the equilibrium price using the welfare optimization method directly; verify whether the results from part A & B are consistence.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter12: The Partial Equilibrium Competitive Model
Section: Chapter Questions
Problem 12.3P
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1) Given the below functions for supply and demand:
Supply: P = In (Q³ - 2)
Demand: P = 18e-arctan (QD)
a) Find the total welfare using the market equilibrium condition (to find the
equilibrium point you need to use Newton's method at some point):
b) Find the equilibrium price using the welfare optimization method directly;
verify whether the results from part A & B are consistence.
Transcribed Image Text:1) Given the below functions for supply and demand: Supply: P = In (Q³ - 2) Demand: P = 18e-arctan (QD) a) Find the total welfare using the market equilibrium condition (to find the equilibrium point you need to use Newton's method at some point): b) Find the equilibrium price using the welfare optimization method directly; verify whether the results from part A & B are consistence.
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