The debits to Work in ProcessâAssembly Department for April, together with data concerning production, are as follows: April 1, work in process: Materials cost, 3,000 units $ 7,441 Conversion costs, 3,000 units, 40% completed 5,477 Materials added during April, 10,000 units 27,805 Conversion costs during April 32,363 Goods finished during April, 12,000 units 0 April 30 work in process, 1,000 units, 40% completed 0 All direct materials are added at the beginning of the process, and the first-in, first-out method is used to cost inventories. The conversion cost per equivalent unit for April is a.$2.81
b.$2.49
c.$2.89
d.$3.24

c. $2.89 per unit

Explanation:

Using the First-In, First-Out method, we need to find the equivalent units first:

= Equivalent opening units + Units started and completed + Equivalent ending units

= (Opening units left to be completed) + (Units completed - opening units) + (proportion of closing units completed with respect to conversion)

= (3,000 * (1 - 40%)) +  (12,000 - 3,000) + (1,000 * 40%)

= 11,200 units

Conversion costs = 32,363

Conversion cost per units:

= 32,363 / 11,200 units

= $2.89 per unit

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