Consider the standard Solow model we worked with in class. Population grows at rate n, households save a fraction 3 of output, capital depreciates at rate (5, and production follows Y} : th (Kt, N75) for constant returns to scale F (m) (a) Transform the production function into per-capita terms. Show your work! (b) What is the capital accumulation equation, if investment is given by the variable It? What is the goods market clearing condition? ) (d) Derive the state update equation in percapita terms. ) Use a. plot to show the steady state level of percapita capital. ) What is the definition of the Golden Rule in the context of the Solow model? No math, just explain it. (g) How do countries with different values of tech differ in terms of steady state per capita capital and per-capita consumption