The total change in demand resulting from the initial change in government spending is $2.1
Formula for Marginal propensity to consume is;
MPC = Change in Consumption/Change in Income = 0.5/1
MPC = $0.5
Formula for Spending Multiplier = 1/(1 - MPC)
Spending multiplier = 1/(1 - 0.5) = 2
The marginal propensity to consume for this economy is $0.50, and the spending multiplier is $2.
Suppose the government decides to increase government purchases by $3.5 billion. As there is an increase in government purchases, there will be an increase in income.
An initial change in consumption is equal to $3.5 * 0.60 = $2.1
An increase in income again causes a second change in consumption equal to $2.1 * 0.50 = $1.05
Change in demand = Government purchases × multiplier
Change in demand = $2.1 * 2 = $4.2
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