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Tom has a utility function U(Y) = 20+ 13Y^0.5 , where Y is income. Tom faces an opportunity to invest his savings of $50000. There

Tom has a utility function U(Y) = 20+ 13Y^0.5 , where Y is income. Tom faces an opportunity to invest his savings of $50000. There is a 0.8 chance for him to earn $1600 and a 0.2 chance for him to earn $6400. What is the certain income corresponding to the expected utility of this investment opportunity?

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