Please include steps and explanations, thank you!

We know the following about the economy. The dynamic aggregate demand curve is given by: 2 ** 3 ( *) + 3 & . The dynamic aggregate supply curve is given by: 2 t = t-1 + 2(Yt - Y*) + 9. The central bank inflation target is * = 3 and natural interest rate is p = 2. = -2. a) The economy is in the long run equilibrium when a negative demand shock occurs, Et+1 Calculate the short run level (in period t+1) of output gap and inflation. Present this situation in a graph. b) Assume that the demand shock lasts for two periods. Using the graph of the DAD-DAS model, present the adjustments of output and inflation to the new long run equilibrium. Explain the shifts of the curves. We know the following about the economy. The dynamic aggregate demand curve is given by: 2 ** 3 ( *) + 3 & . The dynamic aggregate supply curve is given by: 2 t = t-1 + 2(Yt - Y*) + 9. The central bank inflation target is * = 3 and natural interest rate is p = 2. = -2. a) The economy is in the long run equilibrium when a negative demand shock occurs, Et+1 Calculate the short run level (in period t+1) of output gap and inflation. Present this situation in a graph. b) Assume that the demand shock lasts for two periods. Using the graph of the DAD-DAS model, present the adjustments of output and inflation to the new long run equilibrium. Explain the shifts of the curves