The natural rate of unemployment Suppose that the markup of the prices of products over wage cost, \(z\), is \(10 \%\), and that the wage-setting equation is

\[
W=P(1-2 m+z)
\]

where \(m\) is the unemployment rate and \(z\) is the unemployment benefit/minimum wage.

a. What is the real wage, as determined by the price-setting equation?

b. Solve for the natural rate of unemployment

c. What happens to the natural rate of unemployment if \(z\) falls from \(10 \%\) to \(5 \%\) ? Explain your answer.