AQR Section 22 Exercise 46

The Fish and Wildlife Division monitors the trout population in Lune Lake. Assume the current trout population is 4,000 and 2,000 trout are added each month. If the goal is to stabilize the trout population at 10,000 trout, by what percent should the population decrease each month due to the combined effect of all causes, including natural deaths and trout being caught? Justify your answer.