Marginal Utility of Free Time

Marginal Utility of Consumption

Calculus-Based Methods for Analyzing Indifference Curves

Specificity of Partial Derivative Expressions to the Utility Function

An individual's satisfaction from consuming a quantity 'c' of goods and enjoying 't' hours of free time is represented by the utility function U(c, t) = c^2 * t^3. What is the expression for the marginal utility of consumption (c)?

Calculating Marginal Utility of Free Time

Consumer Choice Analysis

An individual's satisfaction from consuming a quantity 'c' of goods and enjoying 't' hours of free time is described by the utility function U(c, t) = 5c + 2√t. Based on this function, which of the following statements is true?

An individual's preferences for consumption (c) and free time (t) are described by the utility function U(c, t) = 10 * ln(c) + 5t. What is the marginal utility of free time (t)?

Consider an individual whose preferences for consumption (c) and free time (t) are represented by the utility function U(c, t) = 2c + 10√t. For this individual, the additional satisfaction gained from one more hour of free time is always greater than the additional satisfaction gained from one more unit of consumption, regardless of their current amounts of consumption and free time.

Match each utility function, which describes an individual's satisfaction from consuming a quantity 'c' of goods and enjoying 't' hours of free time, with its corresponding expression for the marginal utility of free time.

Evaluating Claims about Marginal Utility

Analyzing Diminishing Marginal Utility

Consider an individual's preferences for consumption (c) and free time (t) represented by the utility function U(c, t) = 4c^0.5 * t^0.5. A student calculates the marginal utility of consumption and claims it is equal to 2c^-0.5. This claim is correct.