Answer the questions below based on the following economy:

C= 2,500 + 0.5(Y-T)

I=I₀= 1,000 G=G₀= 1,500 X= 600 IM= 400 T=T₀= 1,000 Y_p= 11,000

Note:Keep as much precision as possible during your calculations. Your final answer should be accurate to at least two decimal places.

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?