In Exercise, examine the units of the term γP and explain why the function Y(γ) = γP is ca...

In Exercise, examine the units of the term γP and explain why the function Y(γ) = γP is called the yield. Suppose that the harvesting strategy defined in Exercise is kept in place long enough for the population to adjust to its new equilibrium level. What value of γ will maximize the yield at this level? What will be the yield and the new equilibrium level of the population for this value of γ?

Adjust the “standard” logistic equation

to reflect the fact that a fixed percentage y of the population is harvested per unit time. Use qualitative analysis to discuss the fate of the population. In your analysis, discuss two particular cases: (1) γ < r and (2) γ > r.