Let y(t) be the population of a species that is being harvested. Consider the harvesting model y'(t) = 0.008y - h, y(0) = y₀, where h > 0 is the annual harvesting rate and y₀ is the initial population of the species.

a. If y₀ = 2000, what harvesting rate should be used to maintain a constant population of y = 2000 for t ≥ 0?

b. If the harvesting rate is h = 200/year, what initial population ensures a constant population for t ≥ 0?