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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. The equation representing a sustainable harvest/catch level, b s, in S is b s = S(1 - S/ ).

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. The equation representing a sustainable harvest/catch level, b s, in S is b s = S(1 - S/ ).

Calculus For The Life Sciences
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.
Chapter3: The Derivative
Section3.EA: Extended Application A Model For Drugs Administered Intravenously
Problem 3EA
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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. The equation representing a sustainable harvest/catch level, b s, in S is b s = S(1 - S/ ).
Transcribed Image Text: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. The equation representing a sustainable harvest/catch level, b s, in S is b s = S(1 - S/ ).
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