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Charles's utility function is U(x, y) = xy. Anne's utility function is U(x, y) = 1,000xy. Diana's utility function is -xy. Elizabeth's utility function is . Fergie's utility function is xy - 10,000. Margaret's utility function is
. Philip's utility function is x(y + 1) . (The goods x and y are two very expensive goods. We leave you to speculate about what they are.) Which of these persons have the same preferences as Charles?
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