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Determining Cost Per Equivalent Unit:

There are $10,000$ units in work in process inventory for the Mixing Department at the end of the month. The units were $60\%$ complete for conversion costs. A total of $15,000$ units were completed or transferred out during the period. Assume that the beginning work in process inventory for the Mixing Department had $$12,000$ in conversion costs; and that $$30,000$ in conversion costs were added during the month.

What is the cost per equivalent unit for conversion costs? $($Please show your work$)$