Hi, I am not sure how to solve part (b) and (c), could you show the step? Looking forward to hearing from you, and thank you very much!

1. (80 points). Consider the following data, which applies to Avataria and Twilightia in the year of 2020. In both countries the production function in per worker terms is: y = A(k) 1/3 (h) 2/3. Country Year Output per Physical capital Human capital per worker, y per worker, k worker, h Avataria 2020 1,920 30 240 Twilightia 2020 2,200 440 55 (a) What were the productivity levels in each country in 2020? What is the ratio of the level of productivity in Avataria relative to that in Twilightia? (b) Assume that the growth rate of technology in both countries is 4%. What is the level of efficiency in Avataria relative to that in Twilightia if it is behind Twilightia in terms of technology by 10 years? (c) Assume that the growth rate of technology in both countries is 4%. What is the level of efficiency in Avataria relative to that in Twilightia if it is ahead of Twilightia in terms of technology by 10 years