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21 December, 08:34

Real GDP per person in Northland is $30,000, while real GDP in Southland is $10,000, However, Northland's real GDP per person is growing at 1 percent per year, and Southland's real GDP per person is growing at 3 percent per year. If these growth rates persist indefinitely, then:A. Northland's real GDP per person will decline until it equals Southland's. B. Northland's real GDP per person will always be between 1 and 2 percent greater than Southland's. C. Southland's real GDP per person will always be exactly 2 percent less than Northland's. D. Southland's real GDP per person will eventually be greater than Northland's.

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  1. 21 December, 09:40
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    D. Southland's real GDP per person will eventually be greater than Northland's.

    Explanation:

    If we compare the expansion of the GDP per person of both countries in the long run - 100 years from now-, eventually, southland's real GDP will be greater.

    Northland: 30.000 * (1 + 1%) ^ 100 = $81.144

    Southland: 10.000 * (1 + 3%) ^ 100 = $192.186

    Despite Southland is 3 times greater than Northland GDP per person, the consistent and greater rate of growth let us conclude that Southland's real GDP per person will eventually be greater than Northland's.
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