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Mathematics
Problem
A population
P
P
P
satisfies
d
P
d
t
=
0.2
P
(
120
−
P
)
\displaystyle \frac{dP}{dt}=0.2P\,(120-P)
d
t
d
P
=
0.2
P
(
120
−
P
)
, where
t
t
t
is measured in years and
P
P
P
in hundreds of individuals. At which population size is the instantaneous growth rate
d
P
d
t
\frac{dP}{dt}
d
t
d
P
greatest? a)
120
120
120
b)
90
90
90
c)
60
60
60
d)
30
30
30
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