Question 3: National Income Determination Model                                       Consider the following three-sector national income determination model assuming equilibrium in the economy: C = 20 + 0.85 (Y − T) T = 25 + 0.25Y I = 155 G = 100  Determine the exogenous and endogenous variables in the system.  Solve the model presented in the above system of equations using the matrix inverse and the Crammer’s rule for the equilibrium values of the unknown variables.  Verify your solution in part (2) above by solving these simultaneous equations.

Microeconomic Theory
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ISBN:9781337517942
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Chapter13: General Equilibrium And Welfare
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Question 3: National Income Determination Model                                      

Consider the following three-sector national income determination model assuming equilibrium in the economy:

C = 20 + 0.85 (Y − T)

T = 25 + 0.25Y

I = 155

G = 100

  1.  Determine the exogenous and endogenous variables in the system.
  2.  Solve the model presented in the above system of equations using the matrix inverse and the Crammer’s rule for the equilibrium values of the unknown variables.
  3.  Verify your solution in part (2) above by solving these simultaneous equations.

 

 

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