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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![A company is considering starting to harvest 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 are 1 million 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 starting to harvest 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 are 1 million salmon in that region.

Transcribed Image Text:Is it a good idea to harvest salmon at the maximal sustainable rate projected by this model?
Expert Solution

Step 1: Given
Given that the equation and
.
The objective is to state if it is a good idea to harvest at the maximum sustainable rate by this model.
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