Consider a national income model with the following consumption, investment, and tax functions
 
C = 55 + 0.85YD
T = 20 + 0.05Y
I = 10 + 0.1Y - 8r
where r is given as 6 % and G0 = 100.
(a)      Find the equilibrium national income, consumption, investment, and tax.
(b)      What is the numerical values of the multipliers?
(c)      Is government budget in this economy balanced?