Nebraska Company uses the weighted$-$average method in its process costing system. The first procesuing department the Weldine Department, started the month with $18,000$ units in its beginning work$-$in$-$process inventory that were $308$ complete with respect to conversion costs. The converion cost in this beginning work$-$in$-$process inventory was $544,820.$ An additional $90,000$ units were started into production during the month. There were $21,000$ units in the endine work$-$in$-$process inventory of the Welding Department that were $106$ complete with respect to conversion costs. A total of $$677,970$ in conversion costs were incurred in the department durine the month.

What would te the cost per equivalent unit for conversion costs for the month? $($Round reve answer to $3$ decima$]$ places.

a$.58112.$

B$.58\mathrm{.}300.$

C$.57\mathrm{.}533.$

D$.$ S$6.108$