Is it a good idea to harvest salmon at the maximal sustainable rate projected by this model?
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
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeefd442-7c64-4a51-8ed1-c0196ac6a13e%2F7362858a-92f6-4d67-b2cc-4e79d809cd7a%2Fe9txlsg_processed.png&w=3840&q=75)
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeefd442-7c64-4a51-8ed1-c0196ac6a13e%2F7362858a-92f6-4d67-b2cc-4e79d809cd7a%2Fgqs5aqi_processed.png&w=3840&q=75)
Transcribed Image Text:Is it a good idea to harvest salmon at the maximal sustainable rate projected by this model?
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