During april, the production department of a process manufacturing system completed a number of units of a product and transferred them to finished goods. of these transferred units, 80,000 were in process in the production department at the beginning of april and 320,000 were started and completed in april. april's beginning inventory units were 60% complete with respect to materials and 40% complete with respect to conversion. at the end of april, 102,000 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 $850,368 of direct materials and $649,296 of conversion costs charged to it during april. also, its beginning inventory of $167,066 consists of $118,472 of direct materials cost and $48,594 of conversion costs. using the weighted-average method, compute the direct materials cost and the conversion cost per equivalent unit and assign april's costs to the department's output.

Using the weighted-average method, compute the direct materials cost and the conversion cost per equivalent unit and assign April's costs to the department's output.

Cost per equivalent unit

Material    

$2,35  

Conversion  

$1,93  

TOTAL Cost per equivalent unit  

Material  

$968.840  

Conversion  

$697.890  

TOTAL

$1.666.730  

Explanation:

                                                                    Material    Conversion  

Units transferred to the next department    320,000   320,000  

Materials  90%                                                       102,000   91,800  

Conversion Cost 40%                                        102,000    40,800

Equivalents Units Production                        411,800    360,800

Cost of beginning work in process inventory$ 118.472$ 48.594

Costs added during the period                    $ 850.368$ 649.296

TOTAL COST                                            $ 968.840$ 697.890

Equivalents Units Production                      411.800    360.800

Cost per equivalent unit                                  $2,35        $1,93  

Units completed and transferred out:          

Equivalent units of production (a)    411.800   360.800  

Cost per equivalent unit                 $968.840   $697.890                     $1.666.730