The biological relationship between the growth for the fish population and the size of the fish population is g = 15S(1-S/5) where g is the growth of the fish population and S is the size of the population. The size of the harvest is a function of the amount of human effort expended b = 3ES where E is the level of effort. Market price of fish per unit is $100 and a constant marginal cost of effort is $50. If we rewrite the sustainable harvest/catch level equation in terms of effort level, E, then we have b s = E E-
The biological relationship between the growth for the fish population and the size of the fish population is g = 15S(1-S/5) where g is the growth of the fish population and S is the size of the population. The size of the harvest is a function of the amount of human effort expended b = 3ES where E is the level of effort. Market price of fish per unit is $100 and a constant marginal cost of effort is $50. If we rewrite the sustainable harvest/catch level equation in terms of effort level, E, then we have b s = E E-
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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![The biological relationship between the growth of the fish population and the size of the fish population is given by the equation:
\[ g = 15S(1 - S/5) \]
where \( g \) is the growth of the fish population and \( S \) is the size of the population. The size of the harvest is a function of the amount of human effort expended, given by:
\[ b = 3ES \]
where \( E \) is the level of effort. The market price of fish per unit is $100, and the constant marginal cost of effort is $50.
If we rewrite the sustainable harvest/catch level equation in terms of effort level \( E \), then we have:
\[ b_S = \_\_\_ E - \_\_\_ \]
\[ E = \_\_\_ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcf605b71-789d-48e0-8055-d8207016854b%2Fdd097a47-a6f8-49cb-afd0-25d551454c9d%2Fvmhbkx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The biological relationship between the growth of the fish population and the size of the fish population is given by the equation:
\[ g = 15S(1 - S/5) \]
where \( g \) is the growth of the fish population and \( S \) is the size of the population. The size of the harvest is a function of the amount of human effort expended, given by:
\[ b = 3ES \]
where \( E \) is the level of effort. The market price of fish per unit is $100, and the constant marginal cost of effort is $50.
If we rewrite the sustainable harvest/catch level equation in terms of effort level \( E \), then we have:
\[ b_S = \_\_\_ E - \_\_\_ \]
\[ E = \_\_\_ \]
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