In a Certain State Park, the Number of Elk Present $P(t)=\frac{1216}{1+75 e^{-0.03 t}}$

question 110

Essay

In a certain state park, the number of elk present after t years is modeled by the function $P(t)=\frac{1216}{1+75 e^{-0.03 t}}$
(a) What was the initial population of elk?
(b) When will the number of elk be 750 ?
(c) What is the maximum number of elk possible in the park?

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Definitions:

Pollution

The introduction of harmful substances or products into the environment, causing adverse effects on living organisms and ecosystems.

Public Good

A product or service that is provided without profit to all members of a society, either freely or by the government, and which is non-excludable and non-rivalrous.

Marginal Benefit

The additional satisfaction or utility a consumer receives from consuming an additional unit of a good or service.

Marginal Cost

The financial outlay for making one more unit of a product or service.