4. The catch-up effect Consider the economies of Hermes and Gobbledigook, both of which produce gobs of goo using only tools and workers. Suppose that, during the course of 20 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 2013 and 2033. Hermes Physical Capital Labour Force Output Productivity Year (Tools per worker) (Workers) (Gobs of goo) (Gobs per worker) 2013 11 30 1,300 E 2033 15 30 2,160 E Gob bledigook Physical Capital Labour Force Output Productivity Year ( Tools per worker) (Workers) (Gobs of goo) (Gobs per worker) 2013 0 30 900 E 2033 13 30 1,520 E Initialiy, the number of tools per worker was higher in Hermes than in Gobbledigook. From 2013 to 2033, capital per worker rises by 5 units in each country. The 5unit change in capital per worker causes productivity in Hermes to rise by a V amount than productivity in Gobbledigook. This illustrates the concept of V , which makes it V for countries with low output to catch up to those with higher output.