Fanciful Structures Company uses the weighted$-$average method in its process costing system. The first processing department, the Welding Department, started the month with $26,800$ units in its beginning work$-$in$-$process inventory that were $20\%$ complete with respect to conversion costs. The conversion cost in this beginning work$-$in$-$process inventory was $$29,320.$ An additional $101,800$ units were started into production during the month and $101,000$ units were completed in the Welding Department and transferred to the next processing department. There were $27,600$ units in the ending work$-$in$-$process inventory of the Welding Department that were $40\%$ complete with respect to conversion costs. A total of $$535,380$ in conversion costs were incurred in the department during the month.

What would be the cost per equivalent unit for conversion costs for the month?

Multiple Choice

$$5\mathrm{.}390$

$$5\mathrm{.}040$

$$5\mathrm{.}232$

$$4\mathrm{.}543$

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