Principles of Microeconomics (MindTap Course List)
Principles of Microeconomics (MindTap Course List)
8th Edition
ISBN: 9781305971493
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 15, Problem 2CQQ
To determine

The relationship between price, marginal revenue and marginal cost.

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Consider an obstetrician who can perform two types of deliveries: normal deliveries and cesarean deliveries. Each typeof delivery provides different levels of income for the physician, and the physician has some ability to induce patientsto opt for cesarean deliveries. The model is as follows:The physician’s utility is defined as:U = U(Y, I)where:• Y is the income from performing deliveries.• I is the total disutility from inducementThe income Y from deliveries depends on the type of delivery:Y = Yn · N + YC · Cwhere:• Yn is the income per normal delivery, Yn = 1, 000• YC is the income per cesarean delivery, Yc = 1, 500,• Initial number of births Binitial = 100,• Post-shock number of births Bshock = 90,• a(i) = 0.1 + 0.05i is the fraction of total births that are cesareans, which increases with inducement level i,• the physician sets the inducement level to i = 2.• N = B · (1 − a(i)) is the number of normal deliveries,• C = B · a(i) is the number of cesarean deliveriesDue to a…
Consider an obstetrician who can perform two types of deliveries: normal deliveries and cesarean deliveries. Each typeof delivery provides different levels of income for the physician, and the physician has some ability to induce patientsto opt for cesarean deliveries. The model is as follows:The physician’s utility is defined as:U = U(Y, I)where:• Y is the income from performing deliveries.• I is the total disutility from inducementThe income Y from deliveries depends on the type of delivery:Y = Yn · N + YC · Cwhere:• Yn is the income per normal delivery, Yn = 1, 000• YC is the income per cesarean delivery, Yc = 1, 500,• Initial number of births Binitial = 100,• Post-shock number of births Bshock = 90,• a(i) = 0.1 + 0.05i is the fraction of total births that are cesareans, which increases with inducement level i,• the physician sets the inducement level to i = 2.• N = B · (1 − a(i)) is the number of normal deliveries,• C = B · a(i) is the number of cesarean deliveriesDue to a…
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