During April, the first production department of a process manufacturing system completed its work on 355,000 units of a product and transferred them to the next department. Of these transferred units, 71,000 were in process in the production department at the beginning of April and 284,000 were started and completed in April. April's beginning inventory units were 65% complete with respect to materials and 35% complete with respect to conversion. At the end of April, 93,000 additional units were in process in the production department and were 90% complete with respect to materials and 40% complete with respect to conversion. The production department had $1,106,991 of direct materials and $800,823 of conversion costs charged to it during April. Also, its beginning inventory of $207,646 consists of $165,239 of direct materials cost and $42,407 of conversion costs. 1. Compute the direct materials cost per equivalent unit for April. (Round "Cost per EUP" to 2 decimal places.)
2. Compute the conversion cost per equivalent unit for April. (Round "Cost per EUP" to 2 decimal places.)
3. Using the FIFO method, assign April's costs to the department's output-specifically, its units transferred to the next department and its ending work in process inventory. (Round "Cost per EUP" to 2 decimal places.)

1. $3.01

2.$2.20

3.

units transferred to the next department  = $1,781,006

ending work in process inventory = $333,777

Explanation:

1. direct materials cost per equivalent unit for April.

The first step is to calculate the Total Equivalent units for Direct Materials

To finish opening work in progress ( 71,000 units × 0% )         =       0

Started and Completed during the period ( 284,000 × 100%) = 284,000

Closing Work In Process ( 93,000 × 90%)                                 =    83,700

Total Equivalent units for Direct Materials                                 = 367,700

Then Calculate the cost cost per equivalent unit

Cost per equivalent unit = Current Period Cost / Total Equivalent units

                                        =  $1,106,991 / 367,700

                                        = $3.01058

                                        = $3.01

2. conversion cost per equivalent unit for April.

The first step is to calculate the Total Equivalent units for Conversion

To finish opening work in progress ( 71,000 units × 60% )       =   42,600

Started and Completed during the period ( 284,000 × 100%) = 284,000

Closing Work In Process ( 93,000 × 40%)                                 =    37,200

Total Equivalent units for Direct Materials                                 = 363,800

Then Calculate the cost cost per equivalent unit

Cost per equivalent unit = Current Period Cost / Total Equivalent units

                                        =  $800,823 / 363,800

                                        = $2.20127

                                        = $2.20

3.assign April's costs to the department's output

Completed and Transferred

Opening Work In Process Cost                                           $207,646

Add To finish Opening Work In Process :

Direct Materials ( 0 × $3.01)                                                        $0

Conversion Costs ( 42,600 × $2.20)                                    $93,720

Add Started and Completed Costs (284,000 × $5.21)    $1,479,640

Total Cost transferred                                                        $1,781,006

Ending Work In Process

Direct Materials ( 83,700 × $3.01)  = $251,937

Conversion ( 37,200 × $2.20)        =   $81,840

Total Cost                                        = $333,777

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