Answer the questions below based on the following economy:

C= 4,500 + 0.25(Y-T)

I=I₀= 2,000

G=G₀= 2,500

X= 800

IM= 400

T=T₀= 2,000

Y_p= 12,000

a)Find autonomous expenditure.

b)Find the multiplier.

c)Find short-run equilibrium output.

d)Find the output gap.

e)By how much would autonomous expenditure have to change to eliminate the output gap? and will it increase or decrease?