A $6\mathrm{.}0-$kg ball is held in the hand with the lower arm making a $90-$degree angle with the upper arm. The lower arm and hand have a combined mass of $2\mathrm{.}5$ kg and a center of mass $18$ cm from the elbow joint. The ball is $40$ cm from the elbow joint. If the biceps muscle is $12$ cm from the center$-$of$-$mass point of the lower arm and hand, calculate the force that the biceps muscle must exert in order to keep the lower arm and hand horizontal.

Group of answer choices

$48\mathrm{.}0$ N

$466$ N

$392$ N

$233$ N

none of the above