Question

In: Advanced Math

For the following exercises, use the logistic growth model f(x) = 150/(1 + 8e-2x). Find the carrying capacity.

For the following exercises, use the logistic growth model f(x) = 150/(1 + 8e-2x).

Find the carrying capacity.

Solutions

Expert Solution

The logistic model is represented as follows:

f(x) = c/(1 + ae-bx)

 

Here, c/(1 + a) is the initial value.

c is the carrying capacity.

b is the constant determined by the rate of growth.

 

Consider the following logistic growth model:

f(x) = 150/(1 + 8e-2x)

 

The upper bound of any logistic growth model is called its carrying capacity.

In the logistic model f(x) = 150/(1 + 8e-2x), the value of c is equal to 150.

So the carrying capacity of this logistic growth model is 150.

So the carrying capacity of this logistic growth model is 150.

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