Solve the Problem $\mathrm { f } ( \mathrm { t } ) = \frac { 82,000 } { 1 + 2732.3 \mathrm { e } ^ { - 1.4 \mathrm { t } } }$

Multiple Choice

Solve the problem.
-The logistic growth function $\mathrm { f } ( \mathrm { t } ) = \frac { 82,000 } { 1 + 2732.3 \mathrm { e } ^ { - 1.4 \mathrm { t } } }$ models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. What is the limiting size of the population that becomes ill?

A) 82,000 people
B) 164,000 people
C) 2732 people
D) 2733 people