Suppose the marginal propensity to consume is 0.8.
The government increases government spending
and taxes by $10 billion. What happens to
aggregate output demanded?
MPC = 0.8
Government spending increases by 10 billion so G = 10
Y/G = 1/(1- MPC)
Y/10 = 1/(1 - 0.8)
Y/10 = 1/0.2
Y = 5(10)
= 50
NOW T = 10
YT = - MPC(1 - MPC)
= - 0.8/(1 - 0.8)
= - 0.8/0.2
Y/10 = - 4
Y = -40
overall effect = 50 + (-40)
= 10
which means aggregate output increases by 10 billion
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