(a) Calculate Injections (J) and Withdrawals (W)
Total Injections (J) = I + G + X
J = 200 + 250 + 150 = $600 billion
Total Withdrawals (W) = S + T + M
W = 180 + 220 + 170 = $570 billion
Since J ($600bn) is not equal to W ($570bn), the economy is not in equilibrium.
(b) Impact on National Income
Since total injections ($600bn) are greater than total withdrawals ($570bn), there is a net injection of $30bn into the circular flow. This means aggregate demand is higher than the current level of output. Firms will see an unplanned fall in their inventories. To meet this excess demand and rebuild stock levels, firms will increase production. This leads to a rise in national output, employment, and therefore national income will rise.
(c) Change in Taxation (T) for Equilibrium
For equilibrium, J must equal W. Currently, J = $600bn and W = $570bn. To achieve equilibrium, total withdrawals (W) must increase by the difference between J and W.
Difference = J - W = 600bn−570bn = $30 billion.
We need to increase W by $30bn by changing T. The new level of withdrawals should be $600bn.
New W = S + New T + M
600bn=180bn + New T + 170bn
600bn=350bn + New T
New T = 600bn−350bn = $250 billion.
Change in T = New T - Old T = 250bn−220bn = +$30 billion.
Therefore, taxation must increase by $30 billion to bring the economy into equilibrium.