Question 3 Endogenous growth model. You will explore the dynamics of human capital and physical capital using the human capital accumulation model. The aggregate production function is Y : AK \"H 1'\". The values of parameters are shown as in Table 2. Each period lasts a year. Table 2: Benchmark Parameter 1Values endogenous growth model (1) Suppose an economy starts from Kg 2 2 and Hg 2 1. Calculate and plot the time paths of log human capital, log physical capital and log output for 100 years (t : U, 1, 2, 100). Describe the dynamics of human capital and physical capital. 1What are the growth rates of human capital, physical capital and output. in the long run? Has the ratio of human capital to physical capital converged to a steady state? If so, what is the steady state ratio of human capital to physical capital? (3 points)