Answer Happy

Maximum Sustainable Yield. The number y of mushrooms in a wooded area is described by the logistic equation dy/dt = r(1-y/K)y where t is time in years. You wish to forage for mushrooms in a sustainable fashion. Consider two different foraging mecha- nisms. Fixed effort: mushrooms are picked at a fixed proportion relative to the number mushrooms. Fixed yield: a constant number of mushrooms are picked each year. (a) Write a differential equation for the number of mushrooms y with respect to time f in years taking into account the foraging H(y, f).