Choosing an Appropriate Utility Model for Policy Analysis
A policy analyst is tasked with evaluating the economic benefits of a new public library. To do this, they need to express the value residents place on library access in monetary terms. The analyst is considering two potential utility functions to model a typical resident's preferences, where b represents hours spent at the library per month and c represents monthly consumption of all other goods (measured in dollars):
Model A: u(b, c) = 15 * sqrt(b) + c
Model B: u(b, c) = b^0.3 * c^0.7
Evaluate which of these two models is more directly suited for the analyst's task. In your answer, explain the key property of the chosen model that makes it more appropriate and describe the specific interpretation of the library-related component of that utility function.
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