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(See Problem 2.) Willy's only source of wealth is his chocolate factory. He has the utility function , where p is the probability of a flood, 1 - p is the probability of no flood, and cf and cnf are his wealth contingent on a flood and on no flood, respectively. The probability of a flood is p =
. The value of Willy's factory is $500,000 if there is no flood and 0 if there is a flood. Willy can buy insurance where if he buys $x worth of insurance, he must pay the insurance company $
whether there is a flood or not, but he gets back $x from the company if there is a flood. Willy should buy
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