etropolitan area consisting of a city and its suburbs has a constant total population. Suppose that each year, 40% of the people in the city move to the suburbs, whereas 40% of the people in the suburbs move to the city The transition matrix A for this situation is given. Find the resulting long-term distribution of a contant total population between the cly and in suburbs 06 04 A=

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A metropolitan area consisting of a city and its suburbs has a constant total population. Suppose that each year, 40% of the people in the city move to the suburbs, whereas 40% of the people in the suburbs move to the city. The transition matrox A for this situation is given. Find the resulting long-term distribution of a constant total population between the city and its suburbs
0.6 04
0.4 0.6
A=
The long-term distribution of the population is city. suburban
(Simplify your answers.)
Transcribed Image Text:A metropolitan area consisting of a city and its suburbs has a constant total population. Suppose that each year, 40% of the people in the city move to the suburbs, whereas 40% of the people in the suburbs move to the city. The transition matrox A for this situation is given. Find the resulting long-term distribution of a constant total population between the city and its suburbs 0.6 04 0.4 0.6 A= The long-term distribution of the population is city. suburban (Simplify your answers.)
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