Solve the Problem $\mathrm { f } ( \mathrm { t } ) = \frac { 56,000 } { 1 + 1865.7 \mathrm { e } ^ { - 1.9 \mathrm { t } } }$

Multiple Choice

Solve the problem.
-The logistic growth function $\mathrm { f } ( \mathrm { t } ) = \frac { 56,000 } { 1 + 1865.7 \mathrm { e } ^ { - 1.9 \mathrm { t } } }$ models the number of people who have become ill with a particular infection t weeks after its initial outbreak in a particular community. How many people were ill after 6 weeks?

A) 54,854 people
B) 56,000 people
C) 180 people
D) 57,867 people