In a country the per worker production function is y = km. The fraction of output invested/saved g, is 0.25. The depreciation rated, is 0.05. a. What are the steady-state levels of capital per worker, k, and output per worker, y? (5 points) b. In year 1, the level of capital per worker is 16. In a table such as the following one, show how capital and output change over time (the beginning is filled in as a demonstration). Continue this table up to year 8. (5 points) Year Capital Output Investment Depreciation Change in y_ ((1/2 6k Capital Stock gy2- 6k 16 0.8 __2 c. Calculate the growth rate of output between years 1 and 2. (2.5 points) d. Calculate the growth rate of output between years 7 and 8. (2.5 points) e. Comparing your answers from parts c and d, what can you conclude about the speed of output growth as a country approaches its steady state. (5 points)