Answer:
Real GDP decreases by $100 billion because of the multiplier effect
The new level of GDP will be $200 billion
Step-by-step explanation:
In an economy, there are no exports and no taxes.
The marginal propensity to consume is 0.9.
The real GDP is $300 billion.
There is a decrease in investment of $10 billion.
This $10 billion decrease in the investment will cause the real GDP to decrease by more than $10 billion. This happens because of the working of the multiplier.
Because of a proportionate change in the investment, the multiplier will cause the GDP to change by more than proportionate.
Multiplier
=
![(1)/(1-MPC)](https://img.qammunity.org/2020/formulas/business/high-school/xwvhkjwubld7w7ujtetsujvx7an07xuln3.png)
=
![(1)/(1-0.9)](https://img.qammunity.org/2020/formulas/business/high-school/s2w05j89owmsm2kj72zs6s2opiaaxvcw2d.png)
= 10
ΔGDP
= Multiplier × ΔI
= 10 × $10 billion
= $100 billion
So a $10 decrease in the investment will cause the real GDP to decrease by $100 billion.
The new level of real GDP will be
= $300 billion - $100 billion
= $200 billion