Question

PA5.

Answer 1

Answer:

Using weighted average method

Statement of equivalent units

                                                   Material    Conversion

                                                    Units         Units

Units transferred out                   19,000       19,000

Add: Closing work-in-progress   6,000       1,800

Average divisor                             25,000    20,800

                        Computation of cost per unit

                                                              Material   Conversion

                                                                   $               $

Cost of beginning work-in-progress   10,000      19,000

Cost added                                           50,000   112,248

Total cost                                               60,000   131,248

Material cost per unit = $60,000

                                         25,000 units

                                    = $2.40 per unit

Conversion cost per unit = $131,248

                                            20,800 units    

                                          = $6.31 per unit

 Value of units transferred out

  Material = 19,000 x $2.40  = $45,600

  Conversion = 19,000 x $6.31 = $119,890

  Value of closing work-in-progress

 Material = 6,000 x $2.40 = $14,400

  Conversion = 1,800 x $6.31 = 11,358

           

Explanation:

In this case, we need to prepare statement of equivalent units in order to ascertain the average divisor. The average divisor is the sum of units transferred out and closing work-in-progress. Then, we will obtain the total cost of material and conversion, which is the aggregate of cost of opening work-in-progress and cost of units added. We will also calculate the cost per unit, which is total cost of material and conversion divided  by average divisor. Finally, the units transferred  and ending work-in-progress will be valued at unit cost of material and conversion.