In 2006, U.S. output was $14 trillion and Chinese output was $3 trillion. Suppose that from now on, the output of China grows at an annual rate of 9% per year, while the output of the U.S. grows at an annual rate of 3.5% per year.
a. How many years will it take for China to have a level of output equal to that of the U.S.?
b. When China catches the U.S. in total output, will residents of China have the same standard of living as the U.S. residents? Explain