Answer the following questions about real GDP per capita:
a. If Country A had 4 times the initial level of real GDP per capita of Country B and it was growing at 1.4 percent a year, while real GDP was growing at 2.3 percent in Country B, how long would it take before the two countries had the same level of real GDP per capita?
b. If two countries had the same initial level of real GDP per capita, and Country A grows at 2.8 percent, while Country B grows at 3.5 percent, how will their real per capita GDP levels compare at the end of a century?