Utility Function of Karim's Friend
The preferences of Karim's friend are modeled by the utility function . This formula represents a different set of preferences for free time () and consumption () compared to Karim's own utility function.
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CORE Econ
Economics
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Economy
Introduction to Microeconomics Course
The Economy 2.0 Microeconomics @ CORE Econ
Ch.3 Doing the best you can: Scarcity, wellbeing, and working hours - The Economy 2.0 Microeconomics @ CORE Econ
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Cobb-Douglas Utility Function
Utility Function of Karim's Friend
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An economist is modeling the preferences of two consumers, Priya and Quinn, for two goods: digital music tracks (m) and physical books (b). Priya's preferences are represented by the utility function U_P(m, b) = 2m + b. Quinn's preferences are represented by the utility function U_Q(m, b) = m * b. What fundamental difference in their consumption preferences do these two functions reveal?
Modeling Consumer Preferences for Complementary Goods
An economist is modeling a consumer's preferences for two goods: weekly hours of a video streaming service (s) and cups of gourmet coffee (c). The consumer's description of their preferences indicates that each additional cup of coffee provides a consistent, fixed amount of satisfaction. In contrast, the first few hours of streaming provide a great deal of enjoyment, but each subsequent hour provides progressively less additional satisfaction. Which of the following utility functions would be the most appropriate model for this consumer's preferences?
Evaluating Utility Function Models
Modeling Preferences for Public Goods
An economist is modeling consumer preferences for two goods, Good X and Good Y. Match each of the following mathematical utility functions to the description of consumer preferences it best represents.
Interpreting a Utility Function for Complementary Goods
Formulating a Utility Function for Perfect Complements
Choosing a Utility Model for Urban Amenities
Evaluating a Utility Function for Urban Planning
Learn After
An individual's preferences for daily free time (t, in hours) and daily consumption (c, in dollars) are represented by the utility function u(t, c) = (t-6)(c-45)^2. Based on this function, which of the following statements most accurately describes this individual's preferences?
Decision Making with a Utility Function
An individual with the utility function u(t, c) = (t-6)(c-45)², where 't' is hours of free time and 'c' is dollars of consumption, would be indifferent between a bundle of (t=7, c=50) and a bundle of (t=7, c=40).
Calculating the Marginal Rate of Substitution
An individual's preferences are represented by the utility function u(t, c) = (t-6)(c-45)², where 't' is hours of free time and 'c' is dollars of consumption. Holding free time constant at 10 hours, which of the following consumption levels would this individual prefer the most?
Evaluating a Utility Model
An individual's preferences for daily free time (t, in hours) and daily consumption (c, in dollars) are represented by the utility function u(t, c) = (t-6)(c-45)². Which of the following combinations of free time and consumption would this individual find least desirable?
An individual's preferences for daily free time (t, in hours) and daily consumption (c, in dollars) are represented by the utility function u(t, c) = (t-6)(c-45)². Assuming the individual has more than 6 hours of free time, the specific level of daily consumption in dollars that would provide the least satisfaction is ____.
An individual's preferences for daily free time (
t, in hours) and daily consumption (c, in dollars) are represented by the utility functionu(t, c) = (t-6)(c-45)². Assuming this individual always has more than 6 hours of free time (t > 6), which statement best describes how their level of satisfaction changes as only their consumption (c) increases from a value below 45 to a value above 45?An individual's preferences for daily free time (
t, in hours) and daily consumption (c, in dollars) are represented by the utility functionu(t, c) = (t-6)(c-45)². Calculate the marginal rate of substitution (MRS), which measures the rate at which the individual is willing to trade consumption for an additional hour of free time, at the point where they have 16 hours of free time and $55 of consumption.