please solve the question attached below. thx.

1. [Inflation in the long run] (15%) Consider the money demand curve (solid line) and the social holding). money demand curve (dash line) in Figure 1 where z-real balances (the real value of buyers' money Nominal Interest rate Money Demand G H Social Money Demand D Figure 1 (a) Suppose the Federal Reserve increases the nominal interest rate from i to i". What is the change in buyers' surplus, sellers' surplus and government income? (b) According to the Friedman rule, what is the optimal nominal interest rate? What is the economics intuition behind the Friedman rule? (c) Suppose the government runs the Friedman rule by setting i-0. What is the equilibrium level of real balances z? Explain why the Friedman rule is socially optimal. (d) [Data Exercise] Collect US data on i-nominal interest rate, M-money supply (MI), y-GDP in the last 50 years. Then plot the money demand curve (namely i against M/y). (e) Find a curve that fits the money demand data in (d) (you can either use a straight line or a curve). Use this as your estimate of the money demand curve. (f) Using your estimate in (e), what is the change in the ratio M/y as the Federal Reserve raises the interest rate i from 2% to 3%? What is the loss in buyer's surplus