Department R had 5,000 units in work in process that were 75% completed as to labor and overhead at the beginning of the period; 30,000 units of direct materials were added during the period; 32,000 units were completed during the period; and 3,000 units were 40% completed as to labor and overhead at the end of the period. All materials are added at the beginning of the process. The first-in, first-out method is used to cost inventories. The number of equivalent units of production for conversion costs for the period was:. a. 29,450.
b. 31,950.
c. 32,450.
d. 26,000.

a. 29,450

Explanation:

Equivalent units under FIFO method are calculated using the following formula:  Equivalent units for each cost component  = (100% − A) × B + C + D × E . Where a = percentage of completion at the end of last period , b = units in opening work in process , c = units started and completed in current period   (30,000 - 3,000 =27,000), d = percentage of completion of units in closing work in process , e = units in closing work in process

Equivalent units for each cost component

= (100% − 75%) × 5000 + 27000 + 40% × 3000

= 29,450

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