Final answer:
The correct GDP per capita of the Central African Republic is approximately $800.28, which does not match any of the options provided in the question.
Step-by-step explanation:
The GDP per capita of the Central African Republic can be calculated by dividing the nation's GDP in CFA francs by the exchange rate to convert it to U.S. dollars, and then dividing this figure by the population. Following this method:1,107,689 million CFA francs (GDP) / 284.681 CFA francs per dollar (Exchange Rate) / 4.862 million people (Population) = $800.28 GDP per capitaTherefore, neither of the options a) $453, b) $572, c) $638, d) $724 is correct. The correct GDP per capita, when calculated, equals to approximately $800.
To calculate the GDP per capita of the Central African Republic, the GDP in CFA francs is divided by the exchange rate in CFA francs per dollar and then further divided by the population. Using the provided figures:
\[ \text{GDP per capita} = \frac{\text{GDP in CFA francs}}{\text{Exchange Rate}} \div \text{Population} \]
Substituting the given values:
\[ \text{GDP per capita} = \frac{1,107,689 \text{ million CFA francs}}{284.681 \text{ CFA francs per dollar}} \div 4.862 \text{ million people} \]
Calculating this yields approximately $800.28 GDP per capita. Therefore, none of the options a) $453, b) $572, c) $638, d) $724 is correct. The accurate GDP per capita for the Central African Republic, as derived from the calculation, is approximately $800.