strategies for stimulating an economy

Question:

Consider a hypothetical economy in which policy makers have never used inflation to try to stimulate the economy. Let’s say that inflation is 0 percent and market participants expect 0 percent inflation going forward. In addition, the natural rate of unemployment is 6 percent.
a.  Draw a diagram representing the short- and long-run Phillips curves with expected inflation and actual inflation on the y axis and the unemployment rate on the x axis.
b.  Show what happens in the short run if the central bank of this economy decides to enact policy that raises the inflation rate to 3 percent.
c.  Because the inflation rate is 3 percent, market participants expect a 3 percent inflation rate. Show what impact this has on the short-run Phillips curve.
d.  Discuss how this demonstrates the long-run Phillips curve.