3 The Solow Model with Exogenous Productivity Growth Now consider an extension of the basic Solow Model in Lecture 2, where the production function takes the following form, Y = AKON1-a. Assume that the growth rate of TFP is constant, g > 0. Specifically, AA A = g 1. Rewrite the capital accumulation function with k, where K K = 1 Al - Q . N 2. What's the proper definition of steady state in this model? Explain why? 3. Does capital (or output) per capita grow over time when the economy stays at its steady state? If so, what's the growth rate for capital per capita at steady state