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4. (12 points) Suppose the real money demand is given by where is real money demand, e is the exponential function, r is real interest rate, a is growth rate of money, and ) is output. The money market equilibrium condition is = = $, where M is the quantity of money and P is the price level. How, if at all, does an increase in & affect the government's real revenue from printing money? Explain your answer. What value of @ maximizes the government's real revenue from printing money? Show mathematically and be sure to show the steps leading to your