If the value of the goods and services a country produces increases while its population stays the same, "the country's per capita GDP has increased."
This is based on the idea that per capita GDP is a form of GDP measure that divides the total GDP, particularly a country with the population or number of people living in that country.
Therefore, when the value of the goods and services a country produces increases while its population stays the same, "the country's per capita GDP has increased."
Hence, in this case, the correct answer is option C. "the country's per capita GDP has increased."
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