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

question 25

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 profit?

• A)$12,000
• B)$13,000
• C)$14,000
• D)$15,000
• E)none of the above

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Definitions:

Trade-Offs

Situations where a choice must be made between two desirable or undesirable outcomes, often involving a compromise.

Performance Determinants

Factors that significantly influence the level of performance in individuals or organizations, including skills, motivation, and environmental conditions.

Changing Conditions

The varying or evolving environmental, economic, or social circumstances that affect individuals, organizations, or communities.

Strategic Decisions

High-level choices made by top management that set the overall direction and goals of an organization, often with long-term impact.