I have the following information about an economy: C = 50 + 0.8*Y d Consumption Function I = 100Investment Function G = 130Government Spending T =...

I have the following information about an economy:

C = 50 + 0.8*Yd                                               Consumption Function

I = 100                                                           Investment Function

G = 130                                                           Government Spending

T = 0.1*Y                                                        Taxes

Yd = Y - T                                                        Disposable Income

1.    Show that if Y = AE then I + G = S + T where S is saving.

2.    What is the Government Budget position (G - T) when the economy is at the equilibrium level of GDP?

3.    If government increases spending from 130 to 186 what happens to equilibrium GDP? to the government budget balance?