Paceheco Corporation uses the weighted$-$average method in its process costing system. The Molding Department is the second department in its production process. The data below summarize the department$$s operations in January.

Units Percent Complete with Respect to Conversion

Beginning work in process inventory $6,00070\%$

Transferred in from the prior department during January $59,900$

Completed and transferred to the next department during January $57,700$

Ending work in process inventory $8,20040\%$

The accounting records indicate that the conversion cost that had been assigned to beginning work in process inventory was $$35,458$ and a total of $$560,154$ in conversion costs were incurred in the department during January. The cost per equivalent unit for conversion costs for January in the Molding Department is closest to:

Multiple Choice

$$9\mathrm{.}623$

$$9\mathrm{.}767$

$$9\mathrm{.}824$

$$8\mathrm{.}579$