36. Vanity license plates. According to a pricing model, increasing the fee for vanity license plates by $1 de- creases the percentage of a state's population that will request them by 0.04%. (Source: E. D. Craft, "The demand for vanity (plates): Elasticities, net revenue maximization, and deadweight loss," Contemporary Economic Policy, Vol. 20, 133–144 (2002).) a) Recently, the fee for vanity license plates in Maryland was $25, and the percentage of the state's population that had vanity plates was 2.13%. Use this information to construct the demand function, q(x), for the percentage of Maryland's population that will request vanity license plates for a fee of x dollars. b) Find the fee, x, that will maximize revenue from vanity plates.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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36. Vanity license plates. According to a pricing model,
increasing the fee for vanity license plates by $1 de-
creases the percentage of a state's population that
will request them by 0.04%. (Source: E. D. Craft, "The
demand for vanity (plates): Elasticities, net revenue
maximization, and deadweight loss," Contemporary
Economic Policy, Vol. 20, 133–144 (2002).)
a) Recently, the fee for vanity license plates in
Maryland was $25, and the percentage of the state's
population that had vanity plates was 2.13%. Use
this information to construct the demand function,
q(x), for the percentage of Maryland's population
that will request vanity license plates for a fee of x
dollars.
b) Find the fee, x, that will maximize revenue from
vanity plates.
Transcribed Image Text:36. Vanity license plates. According to a pricing model, increasing the fee for vanity license plates by $1 de- creases the percentage of a state's population that will request them by 0.04%. (Source: E. D. Craft, "The demand for vanity (plates): Elasticities, net revenue maximization, and deadweight loss," Contemporary Economic Policy, Vol. 20, 133–144 (2002).) a) Recently, the fee for vanity license plates in Maryland was $25, and the percentage of the state's population that had vanity plates was 2.13%. Use this information to construct the demand function, q(x), for the percentage of Maryland's population that will request vanity license plates for a fee of x dollars. b) Find the fee, x, that will maximize revenue from vanity plates.
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