3. (10 points) Suppose there are two countries, A and B. The production technologies in countries A and B are $Y = z_A K^{1/3} N^{2/3}$ and $Y = z_B K^{1/3} N^{2/3}$, respectively. Suppose that country A's output per worker is 30 times as large as that of country B, and country A's capital per worker is 27 times as large as that of country B. What does it imply about how the levels of total factor productivity compare in the two countries?