Suppose the economy is described by the following equations:
C = 350 + .7(Y – T)
I = 100 + .1Y - 1000i
G = 500; T = 500
Money Supply (M/P)s = 3200
Money Demand (M/P)d = 2Y – 4000i
a.Write an equation for the IS relation.
b.Write an equation for the LM relation.
c.Find the equilibrium levels of Y and i.
d.Write the Aggregate Demand equation for this economy with Y as a function of P.
e. Suppose the short-run aggregate supply curve is horizontal at P = 10, and the long-run aggregate supply curve is vertical at Y = 2000, so that the short-run equilibrium Y found in c. is the (long-run) natural or full-employment level of output. Suppose now that M decreases from 32000 to 24000. What are the new short-run and long-run levels of Y and P?
f. Suppose instead, that G increases by 100. What are the new short-run and long-run levels of Y and P?
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