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17. Fish Population with Harvesting The sh population in a pond with carrying capacity 1000 is modeled by the logistic equation dN .4 Here, N

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17. Fish Population with Harvesting The sh population in a pond with carrying capacity 1000 is modeled by the logistic equation dN .4 Here, N (t) denotes the number of sh at time t in years. When the number of sh reached 250, the owner of the pond decided to remove 50 sh per year. (a) (b) (C) Modify the differential equation to model the popu lation of sh from the time it reached 250. Plot several solution curves of the new equation1 including the solution curve with N (O) = 250. Is the practice of catching 50 sh per year sustain able or will it deplete the sh population in the pond? Will the size of the sh population ever come close to the carrying capacity of the pond

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