2.Mulonvia is a closed economy (not open to trade), which is characterized by the following equations: Where r is the real interest rate and i is the nominal interest rate, both in percent. Prices do not change in this economy. Therefore, inflation is zero (i.e. i=r). a.Assume that monetary policy sets the nominal interest rate at 3% and keeps it at that leel. Find consumption, investment and output in equilibrium. How could the FED guarantee that the nominal interest rate is 3%? (i.e. what is the money supply consistent with a nominal interest rate of 3% in equilibrium?) Show that, in equilibrium, total savings (private plus public) equals investment.