Deriving the Income-Independence Property
A consumer's preferences for a good x and money for other goods m are represented by a utility function of the form u(x, m) = v(x) + m, where v(x) is an increasing function of x. Using the concept of marginal utility, explain mathematically why the additional satisfaction from consuming one more unit of x does not depend on the amount of money m the consumer has.
0
1
Tags
Social Science
Empirical Science
Science
Economy
Economics
CORE Econ
Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.10 Market successes and failures: The societal effects of private decisions - The Economy 2.0 Microeconomics @ CORE Econ
Analysis in Bloom's Taxonomy
Cognitive Psychology
Psychology
Related
A farmer's production of grain (y) is described by the function y = g(h), where h is the number of hours worked per day. This function is known to be increasing and strictly concave for all h > 0. Which of the following statements must be true?
Willingness to Pay with Quasi-Linear Preferences
Consider a consumer whose preferences for a specific good (x) and money for all other goods (m) can be represented by the utility function u(x, m) = 20√x + m. If this consumer's income significantly increases, while the price of good x remains constant, their marginal willingness to pay for an additional unit of good x will also increase.
Deriving the Income-Independence Property
Match each utility function, where
xis a specific good andmrepresents money for all other goods, with the correct description of its marginal utility for goodx.Interpreting Consumer Behavior
A consumer's preferences for a specific product (good x) and money available for all other goods (m) are represented by a utility function. The consumer is known to experience diminishing marginal utility for good x. For which of the following utility functions will the consumer's marginal utility for good x be independent of their level of income (m)?
Predicting Consumer Behavior
For a consumer with preferences represented by the utility function
u(x, m) = v(x) + m, wherexis a specific good andmis money for other goods, the marginal rate of substitution betweenxandmdepends only on the quantity of ____.An economist is analyzing a consumer's preferences, represented by the utility function u(x, m) = 10ln(x) + m, where 'x' is the quantity of a specific good and 'm' is the money available for all other goods. The economist wants to determine if the additional satisfaction the consumer gets from one more unit of good 'x' depends on their level of income 'm'. Arrange the following steps in the correct logical sequence to conduct this analysis.
Consider a consumer whose preferences for a specific good (x) and money for all other goods (m) can be represented by the utility function u(x, m) = 20√x + m. If this consumer's income significantly increases, while the price of good x remains constant, their marginal willingness to pay for an additional unit of good x will also increase.