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

Multiple Choice

The manager's utility function for profit is U( $\pi$ ) = 10 ln( $\pi$ ) ,where $\pi$ 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: $$\begin{array} { c c } \text { Probability } & \text { Profit outcome (\$) } \\\hline 0.05 & \$ 5,000 \\0.10 & \$ 10,000 \\0.35 & \$ 15,000 \\0.50 & \$ 20,000\end{array}$$ What is the expected utility of profit?

A) 97
B) 245
C) 462
D) 974
E) 1,033