3. The catch-up effect Consider the economies of Hermes and Gn'lJinez. both of which produce gobs of goo using only tools and workers. Suppose that, during the course of 40 years, the level of physical capital per worker rises by 5 tools per worker in each economy, but the size of each labour force remains the same. Complete the following tables by entering productivity (in terms of output per worker) for each economy In 2018 and 2-058. Hermes Physical Capill Labour Force Output Productivity Year 1' Tools per worker) (Workers) (Cabs of goo) (Gobs per worker) 20 18 7 30 1,3oo \\:| 20 58 12 so 2.160 \\:| Gribinez Physical Capilill Labour Force Output Productivity Year {Tools per worker) (Workers) (Cabs of goo) (Gobs per worker) 20 18 4 30 900 \\:| 20 58 9 so 1,520 \\:| Initially, the number of tools per worker was higher in Hermes than in Grihinez. From 2018 to 2058, capital per worker rises by 5 units in each country. The 5-unit change in capital per worker causes producb'yity in Hermes to rise by a V amount than productivity in Grihinez. This illustrates the concept of V , which makes it V for countries with low output to catch up to those with high er 0 utput