C is consumer expenditure T is tax revenue Y is aggregate output I is investment expenditure r is interest rate G is government expenditure Lis money demand M is money supply Derive the relevant matrix inverse (do not use Cramer's rule) to solve for the equilibrium level of income in terms of government expenditure (G). At what level of public spending does the government balance its budget? (Hint: the endogenous variables are Y and r).

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.4P
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C is consumer expenditure
T is tax revenue
Y is aggregate output
I is investment expenditure
r is interest rate
G is government expenditure
L is money demand
M is money supply
Derive the relevant matrix inverse (do not use Cramer's rule) to solve for the equilibrium level of income in
terms of government expenditure (G). At what level of public spending does the government balance its
budget? (Hint: the endogenous variables are Y and r).
Transcribed Image Text:C is consumer expenditure T is tax revenue Y is aggregate output I is investment expenditure r is interest rate G is government expenditure L is money demand M is money supply Derive the relevant matrix inverse (do not use Cramer's rule) to solve for the equilibrium level of income in terms of government expenditure (G). At what level of public spending does the government balance its budget? (Hint: the endogenous variables are Y and r).
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