Medication $x ( t ) = \frac { 3000 t } { t ^ { 2 } + 12 }$

Multiple Choice

Medication. The number of milligrams x of a medication in the bloodstream t hours after a dose is taken can be modeled by $x ( t ) = \frac { 3000 t } { t ^ { 2 } + 12 }$ $t > 0$ . Find the maximum value of x. Round your answer to two decimal places.

A) 3.46 mg
B) 433.01 mg
C) 952.63 mg
D) 10.74 mg
E) 1125.30 mg