Please answer the following numerical problem. Please provide formulas and explanations.

9. You are given the following data on the unemployment rate and output. Year 1 2 3 4 Unemployment rate 7%% 5% Output 950 1030 1033.5 1127.5 4. Assume that the natural rate of unemployment is 6% and that (Y - Y)/Y = 2(u - u). Find the full- employment level of output in each year. b. Calculate the growth rate of full-employment output in years 2, 3, and 4 two different ways. First, calcu- late the growth rates by using the values for full- employment output that you found in part (a). Then calculate the growth rate of full-employment output by using only the change in the unemployment rate, the growth rate of output, and the growth rate ver- sion of Okun's law, AY/Y = AY/Y - 2Au, which is similar to Eq. (3.6), except that in Eq. (3.6), AY/Y = 3 for the United States, where for this economy, AY/Y could differ from 3. Compare your answers from the two sets of calculations