\
The rate of population change of fish is .
Here is population level of the fish in farm,
is the birth rate of the fish and
is carrying capacity and
is harvesting rate.
(a)
\Stable population refers to situation, where the population not to be changed.
\Therefore for stable population .
\
(b)
\Stable population occurs when .
When ,
and
.
Substitute above values in to find the stable population level.
Therefore stable population level is .
\
(c)
\When is raised to
:
.
Substitute ,
and
in above expression.
Therefore stable population level is zero when is raised to
.
\
(a) For stable population .
(b) Sstable population level is .
(c) Stable population level is zero when is raised to
.