Numerical equation relating planned aggregate expenditure

An economy is described by the following equations:

C = 1000 + 0.6(Y-T) – 1500r

Ip = 700 – 1500r

G = 1700

NX = 100

T = 900

Y* = 6650

The real interest rate, expressed as a decimal, is 0.05.

1) Find a numerical equation relating planned aggregate expenditure to output.
2) Using a table or algebra, solve for short-run equilibrium output.
3) Show your results graphically using Keynesian-cross diagram.
4) What real interest rate should the Fed set to bring the economy to full employment?
5) What if Y* = 6275? (repeat 4)