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Consider a fishery with the net growth function () = $ ( , where ) > 0 refers to fish stock, > 0 is the

Consider a fishery with the net growth function () = $ ( , where ) > 0 refers to fish stock, > 0 is the intrinsic growth rate, and the skewness parameter. Resource dynamics is described by + 1 - = ())- , net benefit is given by (, ) = (), and you wish to Maximize * ) )+, ln ()) {) } Subject to )$- ) = ()) ) , > 0 given (a) What is the Lagrangian expression for this problem? What are the first-order conditions? (5 points) (b) Evaluate the first-order conditions in steady state. (2 points) (c) Using your answer in (c), derive the Fundamental Equation for renewable resources for this particular fishery. It should take the form . () + /0( )//5 /0( )//6 =

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