Consider the three-sector macroeconomic model Y=C +1 + G; C= a(Y - T) + b; T= tY + d (a) Express this system in the form, Ax = b, where x =Y CT] and A and b are 3x3 and 3x1 matrices to be stated. (b) Use Cramer's rule to solve this system for Y, with the following values a = 0.7; b= 60; t= 0.6; |= 350; G= 200; d= 350 1 1 I+G Y (a) 1 a b
Consider the three-sector macroeconomic model Y=C +1 + G; C= a(Y - T) + b; T= tY + d (a) Express this system in the form, Ax = b, where x =Y CT] and A and b are 3x3 and 3x1 matrices to be stated. (b) Use Cramer's rule to solve this system for Y, with the following values a = 0.7; b= 60; t= 0.6; |= 350; G= 200; d= 350 1 1 I+G Y (a) 1 a b
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Consider the three-sector macroeconomic model
Y = C +|+G;
C= a(Y - T) + b;
T= tY +d
(a) Express this system in the form, Ax = b, where x =YC T' and A and b are
3x3 and 3x1 matrices to be stated.
(b) Use Cramer's rule to solve this system for Y, with the following values
t= 0.6;
a = 0.7; b= 60;
|= 350; G= 200;
d= 350
1
-1 0
|+ G
Y
(a)
a
1
a
C
b
- t
0 1
d
(b) Y =
(Give your answers to two decimal places as needed.)
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F294e7365-450f-4ac4-9db2-e55b1c28bde1%2F39b47a95-f0c4-4d3f-9c1b-4fa151389f92%2Fvq548_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the three-sector macroeconomic model
Y = C +|+G;
C= a(Y - T) + b;
T= tY +d
(a) Express this system in the form, Ax = b, where x =YC T' and A and b are
3x3 and 3x1 matrices to be stated.
(b) Use Cramer's rule to solve this system for Y, with the following values
t= 0.6;
a = 0.7; b= 60;
|= 350; G= 200;
d= 350
1
-1 0
|+ G
Y
(a)
a
1
a
C
b
- t
0 1
d
(b) Y =
(Give your answers to two decimal places as needed.)
||
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