AQR Section 22 Exercise 43

The Fish and Wildlife Division monitors the trout population in Lune Lake. The population decreases by 25% each month due to the combined effect of all causes, including natural deaths and trout being caught. Assume the current trout population is 4,000. The Division proposes to introduce T additional trout each month to restock the lake. For what values of T will the equilibrium population of trout in the lake be less than the current population of 4,000? Explore with different numbers of additional trout to add each month. Then, justify your answer choices.