Chapter 7.7, Problem 27E

Assume that the logistic equation $P_{n+1}=\left[1+r\left(1-P_n\right)\right]P_n$ models the

growth of wild turkeys on a large parcel of state game land. If we want to

allow hunting on this land, we adjust this equation by a subtracting some

number from $P_{n+1}$ to account for the turkeys killed by hunting. In the

following question, suppose that the game land is capable of supporting

a maximum of 1,000 turkeys.

Managing wildlife. Assume that currently there are 500 turkeys

and we want to allow 80 to be harvested per year. The growth rate

of the turkeys is 10% per year. Modify the growth equation

accordingly, and use it to predict the turkey population at the end

of 3 years.