1. Derive the fundamental equation of the Solow model
2. Country A as well as country B both have the production function
a. Does this production function have constant returns to scale? Clarify.
b. What is the per-worker production function, y = f(k)?
c. Assume that neither country experiences population growth nor technological progress as well as that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year as well as country B saves 20 percent of output each year. Using your answer from part (b) as well as the steady-state condition that investment equals depreciation, finds the steady-state level of capital per worker for each country. Then find the steady-state levels of income per worker as well as consumption per worker.