An individual's preferences for consumption (c) and free time (t) are represented by the utility function u(t, c) = c + 75 ln(t). This individual is given a choice between two options: receiving one additional hour of free time or receiving one additional unit of consumption. Under which of the following circumstances would the individual gain more utility from the additional unit of consumption than from the additional hour of free time?

Analyzing a Utility Function

Job Offer Decision Analysis

Analyzing Diminishing Marginal Utility

An individual's preferences are described by the utility function u(t, c) = c + 75 ln(t), where 'c' represents units of consumption and 't' represents hours of free time. If this individual currently has 15 hours of free time, the marginal utility they would gain from one additional hour of free time is ____.

For an individual whose preferences are represented by the utility function u(t, c) = c + 75 ln(t), where 'c' is consumption and 't' is free time, the additional utility gained from one extra hour of free time is constant, regardless of how many hours of free time the individual already has.

An individual's preferences are represented by the utility function u(t, c) = c + 75 ln(t), where 'c' is units of a consumption good and 't' is hours of free time. Match each mathematical component of this function with its correct economic interpretation.

An individual's preferences for consumption (c) and free time (t) are represented by the utility function u(t, c) = c + 75 ln(t). Given the natural logarithm values ln(16) ≈ 2.77, ln(18) ≈ 2.89, and ln(20) ≈ 3.00, which of the following combinations of free time and consumption provides the highest level of satisfaction for this individual?

Optimal Labor-Leisure Choice

Analyzing Trade-offs in a Utility Function