Some biologists decided to seed a lake with 400 trout. They estimated the carrying capacity of the lake to be 2,400 trout. By the end of year 3 , they noticed that the population of trout had quadrupled.

a) Assuming the population follows the logistic model, calculate the relative growth rate kk for an unconstrained environment (please round to 4 decimal places)

b) After how many years did the population in the lake reach 1,400 trout?