Is it a good idea to harvest salmon at the maximal sustainable rate projected by this model?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.EA: Extended Application Managing Renewable Resources
Problem 2EA
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A company is considering to start harvesting salmon in a new region. They model the salmon population
size in that region by the equation
P' (t) = kP(t) – h,
with the natural growth rate of k
=
2 salmon per year per population and a harvest rate h salmon per
year. The company wants to decide how much salmon to harvest per year. The company estimates that
currently there is 1mil salmon in that region.
Transcribed Image Text:A company is considering to start harvesting salmon in a new region. They model the salmon population size in that region by the equation P' (t) = kP(t) – h, with the natural growth rate of k = 2 salmon per year per population and a harvest rate h salmon per year. The company wants to decide how much salmon to harvest per year. The company estimates that currently there is 1mil salmon in that region.
Is it a good idea to harvest salmon at the maximal sustainable rate projected by this model?
Transcribed Image Text:Is it a good idea to harvest salmon at the maximal sustainable rate projected by this model?
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