Answer:
a
OR 
b
and
OR
and 
c
Generally the carrying capacity is can be defined as the highest amount of population and environment can support for an unlimited duration or time period
d

Step-by-step explanation:
From the question we are told that
The population model is 
Generally at equilibrium

So

=>
Or

=> 
Thus at equilibrium P = 0 or P = 135
Generally when the population is increasing we have that

So

=> 
and
Now when the first value of P i.e
for
So when population increasing the values of P are
and
OR
and 
So to obtain initial values of P where the population converge to the carrying capacity as ![t \to [\infty]](https://tex.z-dn.net/?f=t%20%5Cto%20%5B%5Cinfty%5D)
The rate equation can be represented as

So we will differentiate the equation again we have that

Now as

So
=> 
=> 