Statistics Solutions

Solution: Many fields of engineering require accurate population estimates. For example, transportation engineers might find it necessary to determine

Question: Many fields of engineering require accurate population estimates. For example, transportation engineers might find it necessary to determine separately the population growth trends of a city and adjacent suburb. The population of the urban area is declining with time according to:

P u (t) = P u, max e -ku t + P u, min

While the suburban population is growing, as in

\[{{P}_{s}}(t)=\frac{{{P}_{s,\max }}}{1+[{{{P}_{s,\max }}}/{{{P}_{0}}-1]{{e}^{-{{k}_{s}}t}}}\;}\]

Where P u,max , ku, P s,max , P 0 and k s = empirically derived parameters. Determine the time and corresponding values of P u (t) and P s (t) when the suburbs are 20% larger than the city. The parameters values are P u,max = 75,000, ku = 0.045/yr, P u,min = 100,000 people, P s,max = 300,000 people, P 0 = 10,000 people, and k s = 0.08/yr. To obtain your solutions, use (a) graphical, and (b) false-position methods.

Price: $2.99
Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document


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