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Question

C = 50 + 0.5 Y is the consumption function where C is consumption expenditure and Y is National Income and investment expenditure is 2,000 in an economy. Calculate: (i) Equilibrium level of (national) income; (ii) Consumption expenditure at equilibrium level of (National) income.

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Solution

(i) At equilibrium,

AS=AD

Y= C+I

=> Y= 50 + 0.5 Y + I

=> Y - 0.5 Y = 50 + 2,000

=> 0.5 Y = 2,050

=> Y = 2,050/ 0.5 = 4,100


(ii) Consumption Function, C = 50+ 0.5 Y where Y in the income in the economy.
So at national income 4,100 , consumption expenditure is
C = 50+ 0.5 ( 4,100)
= 50 + 2,050
= 2,100

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