Based on the below information, help Renwick economy find the equilibrium level of output.

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Based on the below information, help Renwick economy find the equilibrium level of output. 

Aggregate Demand                           Aggregate Supply                  Equilibrium

YAD = C + I + G   YAS = A Kα  L1-α YR =0.5YAD+ 0.5YAS

C = 600 + βYD                                   A    = (1 + g) Ao

YD = YR + TR - tYR K    = 35

TR = 55                                               L    = 80

G = 120                                               g     = 6%

I = 50                                                  Ao   = 150

t = 0.15                                                α     = 0.65                                                 

Where C is private consumption, YD is disposable income; TR, G and I are transfer payments, government spending and total investment, respectively. A in the index of technology and K and L are capital and labour inputs. A0 is the initial levels of A and L, both assumed to be 150, while g is the growth rates. The MPC is 0.60.

a.) Find aggregate demand equation
b.)Fine aggregate supply equation
c.)Equate both aggregate demand and supply to find output

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