A model for the rate of change of the fish poulation is given by the equation dP/dt= rknot(1-(P(t)/Psub(c))P(t)-BP(t) where rknot isthe birth rate of the fish, Psub(c) is the maximum population that the pond can sustain ( called the carrying capacity), and B is the percentage of the population that is harvested.
a)What value of dP/dt corresponds to a stable population?
b) If the pond can sustain 10,000 fish, the birth rate is 5% and the harvesting rate is 4%, find the stable population level.
c) What happens if B is raised to 5%?

Question

A model for the rate of change of the fish poulation is given by the equation dP/dt= rknot(1-(P(t)/Psub(c))P(t)-BP(t) where rknot isthe birth rate of the fish, Psub(c) is the maximum population that the pond can sustain ( called the carrying capacity), and B is the percentage of the population that is harvested. 
a)What value of dP/dt corresponds to a stable population?
b) If the pond can sustain 10,000 fish, the birth rate is 5% and the harvesting rate is 4%, find the stable population level.
c) What happens if B is raised to 5%?