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Determination Of Income And Employment

Question
CBSEENEC12013058

In a two-sector economy, the consumption function and investment function are: C = 60 + 0.8Y and I = 60. Calculate (i) Equilibrium level of income; (ii) Consumption at equilibrium level, and (iii) Saving at equilibrium level.

Solution

(i)For equilibrium level of income,
Y = C + I    
Substituting the values of C and I
space space space space space space space space space straight Y space space space space equals space 60 plus 0.80 straight Y plus 60
straight Y minus 0.8 straight Y space equals space 60 space plus space 60 space equals space 120
space space space space 0.2 straight Y space space space space equals space 120 space space space space or space space space space 2 over 10 straight Y space equals space 120
                   straight Y space equals space 120 space cross times space 10 over 2 space equals space 600 space space space space space space space space space space space space space space space space space left parenthesis Equilibrium space level space of space income right parenthesis
(ii) Consumption
   straight C space equals space 60 plus 0.8 straight Y space left parenthesis Given right parenthesis
space space space space equals space 60 space plus space 4 over 5 cross times 600
space space space space equals space 60 space plus space 480 space space equals space 540

iii) Saving S = Y (income) - C (consumption)
    = 600 – 540 = 60

Tips: -

Equilibrium level of income is determined where (i) AS = AD (i.e., Y + C = I), and (ii) Planned Savings = Planned Investment (i.e., S = I). Two main tools are (i) Aggregate demand or expenditure, and (ii) Aggregate output (supply) or income.