The Neptune Corporation uses a process costing system and the weighted average method. The company started March with $2,900$ units in work in process$-$Department A$.$ During the month $4,600$ units were started. At the end of the month there were $3,800$ units in ending work in process$-$Department A inventory that were $30\%$ complete. The beginning work in process$-$Department A balance was $$120,870$ and product costs totaling $$399,430$ were added during the period. Based on this information, the amount of cost transferred from work in process$-$Department A to work in process$-$Department B was:

Note: Do not round intermediate calculations.

Multiple Choice

$333,556$

$157,137$

$397,750$

$123,170$