rip P Suppose that a wildlife bridge is built over a nearby highway, resulting in 10% of the wolf population migrating away each year. The population of wolves in a forest grows according to a logistic model: a) The current population is P. 10% of the current population leaving each year means we should subtract 0.1P from the logistic model above. Write a new differential equation. b) Simplify your equation to show that we still get a logistic model. What is the new carrying capacity? c) Suppose that we are in the situation described in parts a and b. Suppose also that the initial population of wolves is 1, 000 {before the bridge is opened). The wildlife bridge is opened when there are 2, 000 wolves in the forest. Draw a graph of the wolf population vs. time. On your graph, both the initial carrying capacity and the new one. Also mark inflection points [if any) and the point when the bridge is opened. Clan\".- +r-um-rrilnnrl I'm-Inn l-nul