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Level Of Income Sample Assignment

Given consumption function
                                                                          
                                            C= Rs. 300 crores +2/3 Y
                                                                         

   We are given that the investment remains unchanged in the economy at Rs. 200 cores. Find the equilibrium level of income in the economy.
    We Know the standard form of consumption function is
                                                C = α +by
Where b is MPC
Also,we know
                                                 Y = C + I
Substituting (1) in Equation (2)
                                              Y =  α+by +1
                                         Y-by = (α +1)
                                       Y(1-b) = (α+1)
                                                         
                                               Y =     1   (α + I)
                                                      1 - b
                                               Y =k( α+ I)

Where K is investment multiplier.
 We are give that                            
                                             α = Rs.300 crores
                                              b= MPC = 2/3
                                       
                                              I= I0 = Rs. 200 crores
                                              K= Investment Multiplier
                                                = __1___   =  __1__   =3
                                                   1-MPC        1-2/3
                                                   
Therefore                                 Y= 3 (Rs. 300 crores + Rs.200 crores)
                                                = 3 (Rs.500 crores)
                                                =Rs.1,500  crores

Thus,the equilibrium lvel of income at a given  level of investment of Rs. 200 crores and the MPC 2/3 is Rs  1, 500 crores.

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