In a fish farm, a population of fish is introduced into a pond and harvested regularly. A model for the rate of change of the fish population is given by the equation = 0 (1 − ( ) ) () − (). where 0 is the birth rate of the fish, is the maximum population that the pond can sustain, and is the percentage of the population that is harvested. 2.3. What value of / corresponds to a stable population? [5] 2.4. If the pond can sustain 10 000 fish, the birth rate is 5%, and the harvesting rate is 4%, find the stable population level. [5] 2.5. What happens if is raised to 5%?
