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The Manager's Utility Function for Profit Is U π\pi )= 10 Ln

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The manager's utility function for profit is U( π\pi ) = 10 ln( π\pi ) ,where π\pi is the dollar amount of profit.The manager is considering a risky decision with the four possible profit outcomes shown below.The manager makes the following subjective assessments about the probability of each profit outcome:  Probability  Profit outcome ($)  0.05$5,0000.10$10,0000.35$15,0000.50$20,000\begin{array} { c c } \text { Probability } & \text { Profit outcome (\$) } \\\hline 0.05 & \$ 5,000 \\0.10 & \$ 10,000 \\0.35 & \$ 15,000 \\0.50 & \$ 20,000\end{array} What is the expected utility of profit?


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