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X Homework (Ch 12) 4. The catch-up effect Consider the economies of Blahnik and Gobbledigook, both of which produce gaggles c
Productivity (Gaggles per worker) of gop) larger than in Gobbledigook. From tivity in Blahnik to rise by a smaller $63, capit
Year Physical Capital (Tools p technology Gobbledigook Output rkers) (Gaggles of gop) 30 900 30 1,620 2013 2063 human capital
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Blahnik
Physical capital Labor Force Output Productivity
2013 11 30 1800 60
2063 16 30 2160 72

Now calculate the productivity of Goobledigook

Goobledigook
Physical capital Labor Force Output Productivity
2013 8 30 900 30
2063 13 30 1620 54

Initially the number of tools per worker was higher in Blahnik than in Goobledigook. From 2013 to 2063, capital per worker rises by 5 units in each country. The 5 unit change in capital per worker causes productivity in Blahnik to rise by a smaller amount than productivity in Goobledinik. This illustrates the catch up effect.

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