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.Y=C+I+G+NX=450+0.4Y+350+150+70−(35+0.1Y)=1,407.14.
The multiplier is:
m=11−0.4×(1−0.15)+0.1=1.32.m = \frac {1} {1 - 0.4×(1 - 0.15) + 0.1} = 1.32.m=1−0.4×(1−0.15)+0.11=1.32.
The government spending should be increased by: (1,550−1,407.14)/1.32=108.23.(1,550 - 1,407.14)/1.32 = 108.23.(1,550−1,407.14)/1.32=108.23.
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