Hi I need help.

Suppose the economy is governed by the following equations Yt=17tCY(TtP)+t (3) n : it Etnt+1 (4) 7Tt : Ens171']: + $04. 17:) 'l' \"t (5) EtTFt+1 = 7T: (5) it=7Tt+P+9vr(7Tt7T:)+9Y(YtYt)+t (7) where {t is a monetary policy shock (a change in interest rates which is not a result of changes in inflation or output). Assume that the Taylor principle is satisfied. (a) (b) (C) (d) Derive the dynamic aggregate demand (DAD) and dynamic aggregate supply (DAS) equations for this economy. [4 marks] Suppose that the economy is initially at the long-run equilibrium and experiences a monetary policy shock in period t (E: : 1). What happens to aggregate demand and aggregate supply in period t and subsequent periods? What happens to output, inflation. and nominal and real interest rates in period t and subsequent periods? Note you don't need to derive the responses mathematically, use a diagram and intuition to explain. [5 marks] Suppose that the central bank does not respond to changes in inflation but only to changes in output. so that 6,T : 0. How. if at all, would this fact change your answer in part (b)? [3 marks] Based on your answer in (c), should a central bank place the largest weight on By if the economy is mainly driven by demand shocks? What about if the economy is mainly driven by supply shocks? [3 marks]