$3..$ Given the following data, answer the following questions:

a$.$ In this economy, compute private saving, public saving, and national saving.

b$.$ Compute the equilibrium interest rate.

c$.$ Suppose $G$ is increased by $250.$ Compute private saving, public saving, and national saving.

d$.$ Compute the new equilibrium interest rate.

$Y=C+1+G$

$Y=5000at$ full employment

$G=1000$

T $=1000$

C $=250+0\mathrm{.}75($y$-$t$)$

I $=1000-50$r

E$.$ Draw the investment saving graph which illustrates this economy with both levels of G$.$

F$.$ Prove equilibrium in both the goods market and the saving investment market.