(f) (8 pts) Now assume that the initial level of per-capita capital is 100. First find and report the inital level of technology to be consistent with this being in the first steady state from (c). Then plot the time path of per capita capital stock over the 50 periods of transition. In addition, Graph the net growth rate of per-capita capital stock over time (Defined as: kt kt+1-kt ). What is happening initially in transition and what do we observe in terms of the growth rate over time? (This will require a little algebra on your part to figure out what precisely the growth rate of per-capita capital stock is relative to capital per effective worker number. Once again utilize a loop once you figure out how this evolves over time)