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Every $1 invested in Safe Sox will yield $2 for sure. Each $1 invested in Wobbly Umbrellas will yield $8 with probability and $0 with probability . An investor has $10,000 to invest in these two companies and her von Neumann-Morgenstern utility function is the expected value of the natural logarithm of the total yield on her investments. If S is the amount of money that she invests in Safe Sox and $10,000-S is the amount that she invests in Wobbly Umbrellas, what should S be to maximize her expected utility? (Pick the closest answer.)

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