Portia has been waiting a long time for her ship to come in and has concluded that

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Portia has been waiting a long time for her ship to come in and has concluded that there is a 25% chance that it will arrive today. If it does come in today, she will receive $1,600. If it does not come in today, it will never come and her wealth will be zero. Portia has a von Neumann-Morgenstern utility such that she wants to maximize the expected value of √ c, where c is total wealth. What is the minimum price at which she will sell the rights to her ship?
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