The demand for ice cream is a function of both the price of ice cream and the price of a substitute good, frozen yogurt. In particular the demand curve for ice cream, QD (P₁c, Py) has the following მqD 3. Suppose that the price of yogurt, Py, rises by $1. OPY მQP two derivatives = -5 and OPIC a) Illustrate the impact of the rise of the price of yogurt on the ice cream market in your diagram. By how much would the demand for ice cream change at each price of ice cream given the rise in the price of yogurt?

Brief Principles of Macroeconomics (MindTap Course List)
8th Edition
ISBN:9781337091985
Author:N. Gregory Mankiw
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Chapter4: The Market Forces Of Supply And Demand
Section: Chapter Questions
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The demand for ice cream is a function of both the price of ice cream and the price of a substitute
good, frozen yogurt. In particular the demand curve for ice cream, QP (P.c. Py) has the following
3. Suppose that the price of yogurt, Py, rises by $1.
aqD
two derivatives
OPIC
5 and
aPy
a) Illustrate the impact of the rise of the price of yogurt on the ice cream market in your diagram.
By how much would the demand for ice cream change at each price of ice cream given the
rise in the price of yogurt?
The market clearing price of ice cream, Pc, is the price at which the demand for ice cream equals
C
the supply of ice cream, QP (Pic, Py) = Q°(Pic)
b) The market clearing condition above defines what kind of relationship between the market
clearing price of ice cream and the price of yogurt? Use the market clearing condition to find
the derivative of the relationship between Pic and Py
IC
c) Use the numerical values
-5 and
OPy
3 and your formula from part (b) to predict
OPIC
the change of the price of ice cream due to the $1 rise in the price of yogurt. Label the new
price of ice cream in your diagram in part (a)
Transcribed Image Text:The demand for ice cream is a function of both the price of ice cream and the price of a substitute good, frozen yogurt. In particular the demand curve for ice cream, QP (P.c. Py) has the following 3. Suppose that the price of yogurt, Py, rises by $1. aqD two derivatives OPIC 5 and aPy a) Illustrate the impact of the rise of the price of yogurt on the ice cream market in your diagram. By how much would the demand for ice cream change at each price of ice cream given the rise in the price of yogurt? The market clearing price of ice cream, Pc, is the price at which the demand for ice cream equals C the supply of ice cream, QP (Pic, Py) = Q°(Pic) b) The market clearing condition above defines what kind of relationship between the market clearing price of ice cream and the price of yogurt? Use the market clearing condition to find the derivative of the relationship between Pic and Py IC c) Use the numerical values -5 and OPy 3 and your formula from part (b) to predict OPIC the change of the price of ice cream due to the $1 rise in the price of yogurt. Label the new price of ice cream in your diagram in part (a)
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