When a bactericide was added to a nutrient broth in which bacteria were growing, the bacterium population continued to grow for a while, but then stopped growing and began to decline. The size of a population at time t (hours) was N(t) = -10⁵t³ + 1.1*25*10⁶t.Find the time t at which the population reaches its maximum. What is the maximum value of the bacterium population? Present the asked-for time t = t^* with six digitsafter the decimal dot.