Logistic growth animal populations are not capable of unrestricted growth because of limited habitat and food sup-plies. under such conditions the population follows a logistic growth model.

P(t)= d/1+ke⁻ᶜᵗ

where c, d, and k are positive constants. For a certain fish population in a small pond d = 1200, k
= 11, c = 0.2, and t is measured in years. The fish were introduced into the pond at time = 0.

a) How many fish were originally put into the pond?