Imagine a country with GDP per capita of US$11,000 in the year 2024. (This is roughly the level of per-capita income in Brazil.) Assume GDP per capita would grow at 2% per year in a world without climate change. (a) If climate change reduces GDP per capita by 5% relative to a world without climate change, find GDP per capita in this country in the year 2100. (b) If climate change reduces the growth rate of GDP per capita by .5 percentage points each year, find GDP per capita in this country in the year 2100