1. You are the land manager for Santa Cruz Island, one of theChannel Islands off the coast of California. As themanager for this island, you have to contend with a uniquesituation – the impact of Golden Eagles predating an endangeredendemic species, the Island Fox. If the per capitagrowth rate is 2 for the Island Fox and Golden Eagles can eat 0.002(or 0.2%) of the Island Foxes per time step, then what populationsize of Golden Eagles leads to an Island population growth rate ofzero? (5 pts)

To solve this problem, you will needto determine the predator population size when the prey populationgrowth rate is zero. As we did in class, you can solve for theequilibrium population size using the prey Lotka-Volterramodel.