4. The catch-up effect Consider the economies of Sporon and Tralfamadore, both of which produce gaggles of gop 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 labor force remains the same. Complete the following tables by entering productivity (in terms of output per worker) for each economy in 2018 and 2058. Sporon Physical Capital Labor Force Output Productivity Year (Tools per worker) (Workers) (Gaggles of gap) (Gaggles per worker) 20 18 1 1 30 1 ,800 2058 16 30 2, 160 Tralfa madore Physical Capital Labor Force Output Productivity Year (Tools per worker) (Workers) (Gaggles of gap) (Gaggles per worker) 2018 8 30 900 2058 13 30 1,620 Initially, the number of tools per worker was higher in Sporon than in Tralfamadore. From 2018 to 2058, capital per worker rises by 5 units in each country. The 5unit change in capital per worker causes productivity in Sporon to rise by a V amount than productivity in Tralfamadore. This illustrates the Y effect