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 + -EP where e denotes Euler's number. It is known that the gross 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]

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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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 +
-EP
where e denotes Euler's number. It is known that the
gross 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: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 + -EP where e denotes Euler's number. It is known that the gross 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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