3. The economy of country x has grown 5.83% per year over the past 15 years. Also, the labor force has grown at 2.13% per year, and the quantity of physical capital has grown at 4.05% per year. However, the average education level among the people of that hasn't changed over time. Some economists suggested that each 1% increase in physical capital per worker, raises productivity by 0.42%, ceteris paribus. a) Estimate the rate of productivity and physical capital per worker in country x ? b) Find out how much has growing physical capital per worker contributed to productivity growth, and what percentage of total productivity growth is that? c) How much has technological progress contributed to productivity growth? What percentage of total productivity growth is that?