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Determination Of Income And Employment

Question
CBSEENEC12013064

From the following information about an economy, calculate (i) its equilibrium level of national income, and (ii) Savings at equilibrium level of national income. Consumption function C = 200 + 0.9Y (where C = Consumption expenditure and Y = National Income), Investment expenditure is र 3000.

Solution
(i) For equilibrium
Y = C + I
Y = (200 + 0.9Y) + 3000
Y - 0.9Y = 3200   or  0.1Y = 3200
                straight Y space equals space 3200 space cross times 10 over 1 space equals space 32000 space space space space space left parenthesis National space income right parenthesis
(ii)                       straight C space equals space 200 space plus space 0.9 straight Y space space space space space space space space left parenthesis Given right parenthesis space
                               equals space 200 space plus space 0.9 space cross times space 32000 space space left parenthesis straight Y space equals space 32000 space proved right parenthesis
                                equals space 200 space plus space 9 over 10 space cross times space 32000 space equals space 200 space plus space 28800 space equals space 29000
                 Savings space space equals space straight Y space left parenthesis National space income right parenthesis space minus space straight C left parenthesis consumption right parenthesis
space space space space space space space space space space space space space space space space equals space 32000 space minus space 29000 space equals space 3000