C).$3500 is the answer
Given Current GDP is $8000
Autonomous consumption is $500
Planned investment spending is $200
Marginal propensity to consume is 0.8
Lets suppose equilibrium GDP is X
Income expenditure equilibrium is said to be achieved when the total income is equal to total consumption and savings
GDP represents the total income of the country. we have to find the GDP at which it will be equal to consumption and savings i.e.,
X= Total consumption/expenditure + Total savings
X=TC+$200 (1)
Marginal propensity to consume indicates the additional dollar a consumer is willing to spend for additional income earned. At GDP equilibrium this can be expressed as follows
Total consumption = Autonomous consumption +MPS(GDP equilibrium)
TC= 500+0.8(X)
By substituting this in (1) We get
X= 500+0.8(X)+200
X-0.8(X)=700
0.2X=700
X=3500
Therefore At GDP of $3500 country is said to be in a equilibrium state.
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