Solved: Optimal harvesting rate Let y(t) be the population

Chapter 7, Problem 60

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Optimal harvesting rate Let y(t) be the population of a species that is being harvested. Consider the harvesting model y _1t2 = 0.008y - h, y102 = y0, where h 7 0 is the annual harvesting rate and y0 is the initial population of the species. a. If y0 = 2000, what harvesting rate should be used to maintain a constant population of y = 2000 for t 0? b. If the harvesting rate is h = 200>year, what initial population ensures a constant population for t 0?

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