In a particular very small region, the consumer price index, C, depends on the current value of gross regional domestic expenditure E, number of people living in poverty P, and the average number of household members in a family F, by the following formula: e-Ep C = 100 + F If it is known that the gross regional domestic expenditure is decreasing at a rate of PHP 50 per year, and the number of people living in poverty and the average number of household members in a family are increasing at 3 and 1 per year, resp., how fast does the consumer price index change per year at the moment when E = 1,000, P = 200, and F = 5?

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter18: Introduction To Macroeconomics: Unemployment, Inflation, And Economic Fluctuations
Section: Chapter Questions
Problem 18P
icon
Related questions
Question

Answer it by using chain rule. Note: Do not approximate e^-1000.

In a particular very small region, the consumer price index, C, depends on the current
value of gross regional domestic expenditure E, number of people living in poverty P, and
the average number of household members in a family F, by the following formula:
e-Ep
C = 100 +
F
If it is known that the gross regional domestic expenditure is decreasing at a rate of PHP 50
per year, and the number of people living in poverty and the average number of household
members in a family are increasing at 3 and 1 per year, resp., how fast does the consumer
price index change per year at the moment when E = 1,000, P = 200, and F = 5?
Transcribed Image Text:In a particular very small region, the consumer price index, C, depends on the current value of gross regional domestic expenditure E, number of people living in poverty P, and the average number of household members in a family F, by the following formula: e-Ep C = 100 + F If it is known that the gross regional domestic expenditure is decreasing at a rate of PHP 50 per year, and the number of people living in poverty and the average number of household members in a family are increasing at 3 and 1 per year, resp., how fast does the consumer price index change per year at the moment when E = 1,000, P = 200, and F = 5?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Econometric Model
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Exploring Economics
Exploring Economics
Economics
ISBN:
9781544336329
Author:
Robert L. Sexton
Publisher:
SAGE Publications, Inc
MACROECONOMICS FOR TODAY
MACROECONOMICS FOR TODAY
Economics
ISBN:
9781337613057
Author:
Tucker
Publisher:
CENGAGE L
Economics For Today
Economics For Today
Economics
ISBN:
9781337613040
Author:
Tucker
Publisher:
Cengage Learning
Survey of Economics (MindTap Course List)
Survey of Economics (MindTap Course List)
Economics
ISBN:
9781305260948
Author:
Irvin B. Tucker
Publisher:
Cengage Learning
Macroeconomics: Private and Public Choice (MindTa…
Macroeconomics: Private and Public Choice (MindTa…
Economics
ISBN:
9781305506756
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning
Economics: Private and Public Choice (MindTap Cou…
Economics: Private and Public Choice (MindTap Cou…
Economics
ISBN:
9781305506725
Author:
James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson
Publisher:
Cengage Learning