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On the planet Hyperion every consumer who has ever lived has a utility function U(x, y) = min{x, 2y}. The currency of Hyperion is the doggerel. In 1850 the price of x was 1 doggerel per unit and the price of y was 2 doggerels per unit. In 2000, the price of x was 10 doggerels per unit and the price of y was 4 doggerels per unit. Paasche price index of prices in 2000 relative to prices in 1850 is
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