Answer
12.57 billion people
Work Step by Step
The logistic growth model: $A=\displaystyle \frac{c}{1+ae^{-bt}}$,
(a,b,c are constants and $c>0, b>0$)
describes situations in which growth is limited.
$y=c$ is a horizontal asymptote for the graph,
and growth, $A$, can never exceed $c$.
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In the logistic model
$f(x)=\displaystyle \frac{12.57}{1+3.81e^{-0.027(x)}}$
c= 12.57 (billion people)
which is the the limiting size of this function (world population that the Earth will sustain)
