Answer to Question #147866 in Macroeconomics for Harry

Question #147866
C = 450 + 0.4Y
I = 350

G = 150
X = 70
Z = 35 + 0.1Y
T = 0.15Y
Yf = 1550



Q.2.6 Before the government decreased the tax rate, how much of government
spending was required to bring the economy to full employment?
1
Expert's answer
2020-12-03T07:11:33-0500

The equilibrium income level is:

Y=C+I+G+NX=450+0.4Y+350+150+70(35+0.1Y)=1,407.14.Y = C + I + G + NX = 450 + 0.4Y + 350 + 150 + 70 - (35 + 0.1Y) = 1,407.14.

The multiplier is:

m=110.4×(10.15)+0.1=1.32.m = \frac {1} {1 - 0.4×(1 - 0.15) + 0.1} = 1.32.

The government spending should be increased by: (1,5501,407.14)/1.32=108.23.(1,550 - 1,407.14)/1.32 = 108.23.


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