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
dP/dt=r0(1−P(t)/Pc)P(t)−βP(t)
where r0 is the birth rate of the fish, Pc is the maximum population that the pond can sustain (called the carrying capacity), and β is the percentage of the population that is harvested. If the pond can sustain 10,000 fish, the birth rate is 5%, and the harvesting rate is 4%, find the stable population level.