4. Use the data from Table 6.1 to calculate annual growth rates of GDP per capita for each country listed over the period 1950-2006. [Note: The annual growth rate z will satisfy the equation (1 + z)56 = GDP2oo6 /GDP1950 · To solve this equation for z using a calculator, take logs of both sides of the equation.] You will find that Germany and Japan, two countries that suffered extensive damage in World War II, had the two highest growth rates after 1950. Give a reason, based on the analysis of the Solow model, for these countries' particularly fast growth during this period.