Suppose that hunters are allowed to shoot a fixed number of the Northern Minnesota deer in Exercise 8.1.6 each year.
(a) Explain why the population model takes the form
du/dt = .27 u - b,
where b is the number killed yearly. (Ignore the seasonal aspects of hunting.)
(b) If b = 1.000. how long until the deer run out of resources?
(c) What is the maximal rate at which deer can be hunted without causing their extinction?