Answer the questions below based on the following economy:

C= 4,000 + 0.5(Y-T)

I=I₀= 2,000

G=G₀= 2,000

X= 200

IM= 100

T=T₀= 2,000

Y_p= 11,000

a)Find autonomous expenditure.

b)Find the multiplier.

c)Find short-run equilibrium output.

d)Find the output gap.