3. Consider the following information on a 4-sector ("private-public-open") economy, where Y stands for the GDP and C_a, I_g, and X_nare respectively consumption after tax, autonomous investment and next exports.

C_a= 40 + 0.80 (Y-T)

I_g= 30

X_n= 10

T=20

G=20

DI-Y-T

(a)Use the information above to solve for equilibrium value of GDP (Y), DI, C_a, and APC, and APS. Show all your calculations.

(b)Show the equilibrium GDP graphically.

(c)What is autonomous consumption, MPC, MPS, and the multipliers for G and T in this economy?

(d)If GDP =520, what would be C_a, S_a, APC, and APS? Show all your calculations.

(e)Show the value of total leakages and total injections? Are they equal at the equilibrium?

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