PF), where nc is the number of patients per day who are at least 40 years old, and pf is the price of a checkup. The market demand for the number of dental checkups per day, Qr, is Qr = 100(150 - pr)/3, where p¡ represents the price of a dental checkup. The long-run market supply of medical checkups is QF = 50pF - 10pr. The long-run market supply of dentists is Qr = 50pt - 10pr. The supplies are linked because people decide on a medical and dental career based in part on relative earnings. a) If nc = 40,000, what is the equilibrium number of medical and dental checkups? What are the equilibrium prices? How would an increase in nc affect the equilibrium prices? Determine dpr /dnc and dpr /dnc. b) Suppose that, instead of determining the price of medical checkups by a market process, large health insurance companies set their reimbursement rates, effectively determining all medical prices. A medical doctor receives $35 per checkup from an insurance company, and a patient pays only $10. How many checkups do doctors offer collectively? What is the equilibrium quantity and price of dental checkups?

ECON MICRO
5th Edition
ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter5: Elasticity Of Demand And Supply
Section: Chapter Questions
Problem 1.1P: (Calculating Price Elasticity of Demand) Suppose that 50 units of a good are demanded at a price of...
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The market demand for medical checkups per day is QF = 25(198 + nc /20,000 -
Pr), where nc is the number of patients per day who are at least 40 years old, and pf is the price
of a checkup. The market demand for the number of dental checkups per day, Qr, is Qr =
100(150 - pr)/3, where p¡ represents the price of a dental checkup. The long-run market supply
of medical checkups is QF = 50pF - 10pr. The long-run market supply of dentists is Qr = 50pT
- 10pr. The supplies are linked because people decide on a medical and dental career based in
part on relative earnings.
a) If nc = 40,000, what is the equilibrium number of medical and dental checkups? What
are the equilibrium prices? How would an increase in nc affect the equilibrium prices?
Determine dpf /dnc and dpr /dnc.
b) Suppose that, instead of determining the price of medical checkups by a market process,
large health insurance companies set their reimbursement rates, effectively determining
all medical prices. A medical doctor receives $35 per checkup from an insurance
company, and a patient pays only $10. How many checkups do doctors offer
collectively? What is the equilibrium quantity and price of dental checkups?
c) What is the effect of a shift from a competitive medical checkup market to insurance-
company-dictated medical-doctor payments on the equilibrium salaries of dentists?
Transcribed Image Text:The market demand for medical checkups per day is QF = 25(198 + nc /20,000 - Pr), where nc is the number of patients per day who are at least 40 years old, and pf is the price of a checkup. The market demand for the number of dental checkups per day, Qr, is Qr = 100(150 - pr)/3, where p¡ represents the price of a dental checkup. The long-run market supply of medical checkups is QF = 50pF - 10pr. The long-run market supply of dentists is Qr = 50pT - 10pr. The supplies are linked because people decide on a medical and dental career based in part on relative earnings. a) If nc = 40,000, what is the equilibrium number of medical and dental checkups? What are the equilibrium prices? How would an increase in nc affect the equilibrium prices? Determine dpf /dnc and dpr /dnc. b) Suppose that, instead of determining the price of medical checkups by a market process, large health insurance companies set their reimbursement rates, effectively determining all medical prices. A medical doctor receives $35 per checkup from an insurance company, and a patient pays only $10. How many checkups do doctors offer collectively? What is the equilibrium quantity and price of dental checkups? c) What is the effect of a shift from a competitive medical checkup market to insurance- company-dictated medical-doctor payments on the equilibrium salaries of dentists?
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