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. We can derive the free-access equilibrium effort level E f by setting the net benefits function equal to zero. Then, E f = the number in one decimal place. Hint: Write

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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, represented as:

\[ b = 3ES \]

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.

We can derive the free-access equilibrium effort level \( E_f \) by setting the net benefits function equal to zero. Then, \( E_f = \) [answer box]. Hint: Write the number in one decimal place.
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, represented as: \[ b = 3ES \] 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. We can derive the free-access equilibrium effort level \( E_f \) by setting the net benefits function equal to zero. Then, \( E_f = \) [answer box]. Hint: Write the number in one decimal place.
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