Larner Company uses the FIFO method in its process costing system. Operating data for the first processing department for the month of June appear below:

Units Percentage complete

Beginning work in process inventory $34,00040\%$

Started into production during June $82,000$

Ending work in process inventory $19,00020\%$

According to the company's records, the conversion cost in beginning work in process inventory was $$68,064$ at the beginning of June. Additional conversion costs of $$585,324$ were incurred in the department during the month.

What was the cost per equivalent unit for conversion costs for the month? $($Round your answers to two decimal places.$)$

Group of answer choices

$6\mathrm{.}87$

$6\mathrm{.}43$

$6\mathrm{.}78$

$6\mathrm{.}71$