The Tojolobal Mayan Indian community in Southern Mexico has available a fixed amount of

Chapter 4, Problem 7

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The Tojolobal Mayan Indian community in Southern Mexico has available a fixed amount of land.16 The proportion, P, of land in use for farming t years after 1935 is modeled with the logistic function P = 1 1 +3e0.0275t . (a) What proportion of the land was in use for farming in 1935? (b) What is the long-run prediction of this model? (c) When was half the land in use for farming? (d) When is the proportion of land used for farming increasing most rapidly?

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