Given Ca=20 c=MPC=3/4 Ia=I=20 detemine equilibrium level of income when there is no government sector b; define equilibrium level of income when government spending is 25 &no taxation
Qn. a
Equilibrium level of income without government sector is given as;
"Y=C+I"
"C=Ca+c\\times Yd"
"c=\\frac{3}{4}=0.75" "Ia=I=20"
but "Yd=Y-T"
"C=20+0.75Yd" but in this case there is no taxation so "Yd=Y"
"Y=(20+0.75Y)+20"
"Y=40+0.75Y"
"0.25Y=40"
"\\bold{Y=160}" equilibrium income without government.
Qn. b
Equilibrium income with government spending of 25 is given as;
"Y=C+I+G"
but we have "Y=C+I\\to 160" and the value of "G=25"
"Y=160+25\\to 185"
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