Total questions: 14Questions 1-6Q1) How fast would a country have to be growing to double its output in 9 years? You should answerthis question using the rule of 72, not a calculator. Q2) In 1900 GDP per capita in Japan (measured in year 2005 dollars) was $1,617. In 2000 it was $29,639. Calculate the growth rate of income per capita in Japan over this period. Now suppose that Japan growsat the same rate for the century following 2000. What will Japanese GDP per capita be in the year 2010?(Round to the nearest tenth of a percent)Q3)Q4) What is a production function? What are factors of production? (Explain why, but use less than 75words)Q5) What are the obstacles to using data on correlation to infer causation? (use less than 75 words)Q6) What is the evidence in favor of the theory that differences in income among countries are theresult of differences in investment rates? What is the evidence against this theory?Questions 7-9 (from textbook)From the below pictures, please answer Problems 4, 6 and 9. Let me know if you have any questions!