Answer:
$50 billion
Explanation:
To find the change in aggregate expenditures, we need to find the change in consumption. For this, we will use the marginal propensity to consume formula:
MPC = ΔC/ΔY
Where:
MPC = Marginal propensity to consume
ΔC = Change in consumption
ΔY = Change in output (GDP)
We know that out MPC is 0.5, and our ΔY is $billion. We plug these amounts into the formula:
0.5 = ΔC / 100 billion
And we rearrange the equation to solve for ΔC
ΔC = $ 100 billion x 0.5
ΔC = $50 billion
So the change in consumption is $50 billion, which is also the change in aggregate expenditure.