2. The Romer Model of Economic Growth: Consider the Romer Model of economic growth we studied in class with goods producing technology Yt=AtLy,t (Goods Production) where Ly, is the number of workers engaged in production. Total factor productivity A1 is determined by investment in science and evolves according to the research technology, At+1=AtLa,t (Ideas Creation) where La, i the number of researchers in the economy. Labor market clearing requires, Ly,t+La,t=L (Labor Market) where, as in class, we focused on a rule-of-thumb allocation for labor given by, La,t=LLy,t=(1)L where 0