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Deer in a Certain Region, Are Born at a Rate

Question 61

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Deer in a certain region, are born at a rate that is proportional to their current population. With the absence of outside factors, the population will double in 3 years' time.
Each year 5 deer join the population, 10 are caught by hunters, and 4 die of natural causes.
If initially there are 50 deer, will the population survive? If not, when will it die out?

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