Solve the Problem $S ( t )$ (In $\$ 1000 ) t$

Multiple Choice

Solve the problem.
-After a new product is launched the cumulative sales $S ( t )$ (in $\$ 1000 ) t$ weeks after launch is given by
$$S ( t ) = \frac { 54 } { 1 + 11 e ^ { - 0.32 t } }$$
Determine the amount of time for the cumulative sales to reach $\$ 48,000$ . Round to the nearest week.

A) 14 weeks
B) 1 week
C) 27 weeks
D) 54 weeks