$\text { The logistic function } P ( t ) = \frac { 15 } { 1 + 5 e ^ { - 4 t } } \text { models the growth of a population. }$

Multiple Choice

$\text { The logistic function } P ( t ) = \frac { 15 } { 1 + 5 e ^ { - 4 t } } \text { models the growth of a population. }$ Determine when the population reaches of the maximum carrying capacity. Round your answer to three decimal places.

A) 4.317
B) 3.000
C) 0.474
D) 0.677
E) 0.301