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On the planet Homogenia every consumer who has ever lived consumes only two goods, x and...

On the planet Homogenia every consumer who has ever lived consumes only two goods, x and y, and has the utility function U(x, y) = xy. The currency in Homogenia is the fragel. In this country in 1900, the price of good 1 was 1 fragel and the price of good 2 was 2 fragels. Per capita income was 84 fragels. In 2000, the price of good 1 was 3 fragels and the price of good 2 was 4 fragels. The Laspeyres price index for the price level in 2000 relative to the price level in 1900 is

A. 2.50

B. 3.50

C. 2.33

D. 4

E. not possible to determine from this information

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