a) PAE = Y
C + I + G + NX = Y
40 + 0.8(Y-150) + 70 + 120 + 10 = Y
120 + 0.8Y = Y
This is the required equation.
b) Table is given below. The equilibrium level of output is 600.
Y (Output) | PAE |
0 | 120 |
100 | 200 |
200 | 280 |
300 | 360 |
400 | 440 |
500 | 520 |
600 | 600 |
700 | 680 |
c) Full employment output is 580 and current equilibrium is 600. Hence inflationary gap is 20. Government spending should be reduced by Gap/spending multiplier or taxes should be increased by Gap/tax multiplier
Spending multiplier is 1/1-mpc = 5 and tax multiplier = -mpc/1-mpc = -4
Hence Government spending should be reduced by Gap/spending multiplier = 20/5 = $4 or taxes should be increased by Gap/tax multiplier = 20/4 = $5.
d) Full employment output is 630 and current equilibrium is 600. Hence recessionary gap is 30. Government spending should be increasd by Gap/spending multiplier or taxes should be decreased by Gap/tax multiplier
Hence Government spending should be increased by Gap/spending multiplier = 30/5 = $6 or taxes should be decreased by Gap/tax multiplier = 30/4 = $7.5
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