Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions the population follows a logistic growth model: # 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 t = 0. PUT) = (a) How many sh were originally put in the pond? sh (b) Find the population after 10, 20, and 30 years. (Round your answers to the nearest whole number.) 10 years :] sh 20 years C] fish 30 years :] sh (c) Evaluate P(t) for large values of t. What value does the population approach as t v cc? P(t) = U Does the graph shown confirm your calculations