Answer:
[tex]\frac{dN}{dt} =[/tex] 14130
Explanation:
Logistic growth is a measure of continuous growth of a population of individuals in such an environment where the resources are limited. Such type of growth pattern has a characteristic growth curve which is S-shaped or sigmoidal.
The equation for logistic growth is as follows -
Change in population size = [tex]\frac {dN}{dt} = rN(K- \frac {N}{K})[/tex]
Where,
N = size of population
r = intrinsic rate of increase
K = carrying capacity
The values of r, N and K are given in the question as 12, 30 and 40 respectively.
So,
[tex]\frac{dN}{dt} = 12 \times 30(40 - \frac{30}{40}) = 14130[/tex]