1. Suppose you have the following national income model: Y -C = G. -0.45Y+ C = 102 -0.45 T -0.4 Y + T = 179 Where G. = 336 Convert this system of equations in matrix form. (a) What is the determinant of the coefficient matrix? (Give your answer to two decimal places) (Note: you can use either inversion or Cramer's rule to find the values of Y, C and T.) (b) What is the equilibrium value of Y? (Give your answer to two decimal places) (c) What is the equilibrium value of C? (Give your answer to two decimal places) d) What is the equilibrium value of T? (Give your answer to two decimal places)

Economics Today and Tomorrow, Student Edition
1st Edition
ISBN:9780078747663
Author:McGraw-Hill
Publisher:McGraw-Hill
Chapter13: Measuring The Economy's Performance
Section13.1: National Income Accounting
Problem 5R
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1. Suppose you have the following national income model:
Y - C = G.
-0.45Y+ C = 102 -0.45 T
-0.4 Y +T = 179
Where G. = 336
%3D
Convert this system of equations in matrix form.
(a) What is the determinant of the coefficient matrix?
(Give your answer to two decimal places)
(Note: you can use either inversion or Cramer's rule to find the values of Y, C and T.)
(b) What is the equilibrium value of Y?
(Give your answer to two decimal places)
(c) What is the equilibrium value of C?
(Give your answer to two decimal places)
d) What is the equilibrium value of T?
(Give your answer to two decimal places)
Transcribed Image Text:1. Suppose you have the following national income model: Y - C = G. -0.45Y+ C = 102 -0.45 T -0.4 Y +T = 179 Where G. = 336 %3D Convert this system of equations in matrix form. (a) What is the determinant of the coefficient matrix? (Give your answer to two decimal places) (Note: you can use either inversion or Cramer's rule to find the values of Y, C and T.) (b) What is the equilibrium value of Y? (Give your answer to two decimal places) (c) What is the equilibrium value of C? (Give your answer to two decimal places) d) What is the equilibrium value of T? (Give your answer to two decimal places)
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