#2 Consider a simple model, where the production (Y) of an economy only depends on labor (L) and capital (K). The share of labor in the production (o) is around 67% and the share of capital in production (ax) is 33%. Below is the growth in production, labor and capital for three different countries: Country Y L K Canada 7% 1% 3% United States 8% | 1.5% | 5% Mexico 6% | 2.5% | 2% a) For each country compute what is the share of growth in production that is due to productivity growth. For which country is productivity growth the most relevant to the growth in production? b) Assuming that all countries start from the same level of production, how many years will it take for the US to have twice as much production as Canada? And for the US and Mexico