In a particularly small region in the Philippines, the consumer price index C depends on E, the current value of the gross regional domestic expenditure; P, the number of people living in poverty; and F, the average number of household members in a family. articular, C = 100 + where e denotes Euler's number. It is known that the gross e-EP F onal domestic expenditure is decreasing at the rate of PhP 50 per year; while the number of ple living in poverty and the average number of household members in a family are increasing he rate of 3 and1 person per year, respectively. How fast does the consumer price index nge per year when E = 1000, P = 200, and F = 5? [b]

Survey of Economics (MindTap Course List)
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Author:Irvin B. Tucker
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Chapter11: Gross Domestic Product
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In a particularly small region in the Philippines, the consumer price index C depends on
• E, the current value of the gross regional domestic expenditure;
• P, the number of people living in poverty; and
• F, the average number of household members in a family.
In particular, C = 100 + P where e denotes Euler's number. It is known that the gross
F
regional domestic expenditure is decreasing at the rate of PhP 50 per year; while the number of
people living in poverty and the average number of household members in a family are increasing
at the rate of 3 and 1 person per year, respectively. How fast does the consumer price index
change per year when E = 1000, P
= 200, and F = 5? [b]
Transcribed Image Text:In a particularly small region in the Philippines, the consumer price index C depends on • E, the current value of the gross regional domestic expenditure; • P, the number of people living in poverty; and • F, the average number of household members in a family. In particular, C = 100 + P where e denotes Euler's number. It is known that the gross F regional domestic expenditure is decreasing at the rate of PhP 50 per year; while the number of people living in poverty and the average number of household members in a family are increasing at the rate of 3 and 1 person per year, respectively. How fast does the consumer price index change per year when E = 1000, P = 200, and F = 5? [b]
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