Error Analysis in MRS Calculation
A student is attempting to find the marginal rate of substitution (MRS) for a consumer with the utility function U(X, Y) = 10X⁰.⁵ + Y. The student's final answer for the MRS is 5X¹⁵ / 1. Identify the specific mathematical error in the student's process and explain the correct procedure to find the marginal utility for the term that was calculated incorrectly.
0
1
Tags
Science
Economy
CORE Econ
Social Science
Empirical Science
Economics
Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.4 Strategic interactions and social dilemmas - The Economy 2.0 Microeconomics @ CORE Econ
Analysis in Bloom's Taxonomy
Cognitive Psychology
Psychology
Related
A consumer's preferences for two goods, Good X and Good Y, are represented by the utility function U(X, Y) = X²Y³. What is the marginal rate of substitution (MRS) for this consumer?
Error Analysis in MRS Calculation
A student is asked to find the marginal rate of substitution (MRS) of good X for good Y, given the utility function U(X, Y) = 4X^0.5 * Y^0.5. Arrange the following steps in the correct logical order to solve this problem.
Limitations of the MRS Calculation Method
Peer Review of an MRS Calculation
Match each utility function with its corresponding Marginal Rate of Substitution (MRS) expression. The MRS represents the rate at which a consumer is willing to substitute good Y for one additional unit of good X.
For a consumer with the utility function U(X, Y) = 5X + 10Y, the marginal rate of substitution (the rate at which the consumer is willing to give up good Y for one more unit of good X) is 2.
Explaining the MRS Calculation Process
For a consumer whose preferences are described by the utility function U(X, Y) = 10X^0.4 * Y^0.6, the expression for the marginal rate of substitution (the rate at which the consumer is willing to give up good Y for one more unit of good X) is ____.
Identifying an Error in an MRS Calculation
A consumer's preferences for two goods, Good X and Good Y, are represented by the utility function U(X, Y) = X²Y³. What is the marginal rate of substitution (MRS) for this consumer?
To find the Marginal Rate of Substitution (MRS) from a utility function representing a consumer's preferences for two goods (Good X on the horizontal axis and Good Y on the vertical axis), several steps must be taken. Arrange the following actions into the correct logical sequence.
Explaining the MRS Calculation Method
Error Analysis in MRS Calculation
For a consumer with the utility function U(X, Y) = 4X^(0.5)Y^(0.5), the marginal rate of substitution (MRS) is equal to X/Y.
A consumer's preferences for two goods, X and Y, can be represented by different utility functions. Match each utility function with its corresponding Marginal Rate of Substitution (MRS).
Analyzing the Role of Exponents in a Utility Function
A consumer's preferences for two goods, X and Y, are represented by the utility function U(X, Y) = 3X + 2Y. The value of the marginal rate of substitution (MRS) for this consumer is ____.
Consumer Trade-off Decision
A consumer's willingness to trade a fixed amount of good Y for one unit of good X remains constant, regardless of how many units of X and Y they currently possess. Which of the following utility functions, when used to derive the marginal rate of substitution (MRS), would accurately represent this consumer's preferences?
Calculating the Marginal Rate of Substitution