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 houschold members in a family F, by the following formula: e Ep C = 100 + %3D 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 houschold members in a family are incrcasing 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?

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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.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 houschold 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 houschold 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?
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