The town of Sickville, with a population of 7957 is exposed to the Blue Moon Virus, against which there is no immunity. The number of people infected when the virus is detected is 60. Suppose the number of infections grows logistically, with $k = 0.16$.

Find $A$.

Find the formula for the number of people infected after $t$ days.
$N(t) =$

Find the number of people infected after 26 days.