A class of models for population growth rates in marine fisheries assumes that the harvest from fishing is proportional to the population size. One such model uses the following quadratic function. G = 0.4n − 0.2n2 Here G is the growth rate of the population, in millions of tons of fish per year, and n is the population size, in millions of tons of fish. (a) Calculate G(1.60). (Round your answer to three decimal places.) G(1.60) = (b) Explain what your answer means in practical terms. A population n of 1.60 million tons of fish, the population is growing by about *blank* tons of fish per year. (c) At what population size is the growth rate the largest?
A class of models for population growth rates in marine fisheries assumes that the harvest from fishing is proportional to the population size. One such model uses the following quadratic function. G = 0.4n − 0.2n2 Here G is the growth rate of the population, in millions of tons of fish per year, and n is the population size, in millions of tons of fish. (a) Calculate G(1.60). (Round your answer to three decimal places.) G(1.60) = (b) Explain what your answer means in practical terms. A population n of 1.60 million tons of fish, the population is growing by about *blank* tons of fish per year. (c) At what population size is the growth rate the largest?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A class of models for population growth rates in marine fisheries assumes that the harvest from fishing is proportional to the population size. One such model uses the following quadratic function.
G = 0.4n − 0.2n2
Here G is the growth rate of the population, in millions of tons of fish per year, and n is the population size, in millions of tons of fish.
(a) Calculate G(1.60). (Round your answer to three decimal places.)
G(1.60) =
(b) Explain what your answer means in practical terms.
A population n of 1.60 million tons of fish, the population is growing by about *blank* tons of fish per year.
(c) At what population size is the growth rate the largest?
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