Kimbeth Manufacturing uses a process cost system to manufacture Dust Density Sensors for the mining industry. The following

information pertains to operations for the month of May $2012$:

The beginning inventory was $60\%$ complete for materials and $20\%$ complete for conversion costs. The ending inventory was $90\%$

complete for materials and $40\%$ complete for conversion costs.

Costs pertaining to the month of May are as follows:

The beginning inventory costs are: materials, $$54,560$; direct labor, $$20,320$; and factory overhead, $$15,240.$

Costs incurred during May are: materials used, $$468,000$; direct labor, $$182,880$; and factory overhead, $$391,160.$

Using the FIFO method, the equivalent unit conversion cost for May is

$$5\mathrm{.}83$

$$6\mathrm{.}00$

$$6\mathrm{.}20$

$$5\mathrm{.}65$