Suppose that the typical inverse demand for trips to the dentist by a patient is given by p=1000-200q. Assume that there are lots of patients. Dentists charge $400 per visit, either to the insurer or to the patient, and this represents their average cost per visit. If there is an insurer, it charges a premium which comes straight out of the wealth of consumers. Assume that the premium is fair and reflects use of dental visits by all consumers, not just the specific consumer. (a) Find the optimal number of visits that would happen in order to maximize consumer welfare less the costs of dentistry. (b) Suppose that the insurer covers 50% of the dental cost. Does this lead to an increase/decrease in consumer welfare (i.e. the sum of consumer surplus less premiums)? Show how much.

EBK HEALTH ECONOMICS AND POLICY
7th Edition
ISBN:9781337668279
Author:Henderson
Publisher:Henderson
Chapter12: Medicare
Section: Chapter Questions
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Suppose that the typical inverse demand for trips to the dentist by a patient is given by
p=1000-200q. Assume that there are lots of patients. Dentists charge $400 per visit, either
to the insurer or to the patient, and this represents their average cost per visit. If there is an
insurer, it charges a premium which comes straight out of the wealth of consumers.
Assume that the premium is fair and reflects use of dental visits by all consumers, not just
the specific consumer.
(a) Find the optimal number of visits that would happen in order to maximize
consumer welfare less the costs of dentistry.
(b) Suppose that the insurer covers 50% of the dental cost. Does this lead to an
increase/decrease in consumer welfare (i.e. the sum of consumer surplus less
premiums)? Show how much.
Transcribed Image Text:Suppose that the typical inverse demand for trips to the dentist by a patient is given by p=1000-200q. Assume that there are lots of patients. Dentists charge $400 per visit, either to the insurer or to the patient, and this represents their average cost per visit. If there is an insurer, it charges a premium which comes straight out of the wealth of consumers. Assume that the premium is fair and reflects use of dental visits by all consumers, not just the specific consumer. (a) Find the optimal number of visits that would happen in order to maximize consumer welfare less the costs of dentistry. (b) Suppose that the insurer covers 50% of the dental cost. Does this lead to an increase/decrease in consumer welfare (i.e. the sum of consumer surplus less premiums)? Show how much.
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