Suppose that the price-setting relation and the wage-setting relation are given by W A' W = APF (u, z), where m = 0.18, F(u, z) = 1-au + z, z = -0.03, and a = 3. (a) Derive the Phillips curve. (b) Compute the natural rate of unemployment, un, in this economy. (c) Suppose that the aggregate production function is given by Y = AN, where A = 3 and L = 100, where N and L denote employment and the labor force, respectively. We define the natural level of employment and output N and Yn as employment N and output y when u = Un, respectively. Compute the natural level of output in this economy. P= (1 + m)-