In: Statistics and Probability
Betty DeRose, Inc. operates two departments, the handling department and
the packaging department. During April, the handling department reported
the following information:
                                           % complete      % complete
                                units         DM           conversion 
work in process, April 1        18,000        38%             71%
units started during April      80,000
work in process, April 30       44,000        82%             47%
The cost of beginning work in process and the costs added during April
were as follows:
                                 DM         Conversion       Total cost
work in process, April 1      $ 51,764       $152,477         $204,241
costs added during April       191,452        232,125          423,577
total costs                    243,216        384,602          627,818
Calculate the direct material unit cost using the weighted average process
costing method.
ANSWER;
Betty DeRose, Inc. operates two departments, the handling department and the packaging department. During April, the handling department reported the following information: % complete % complete units. DM conversion work in process, April 1 18,000 38% 71% units started during April 80,000 work in process, April 30 44,000 82% 47% The cost of beginning work in process and the costs added during April were as follows: DM Conversion Total cost work in process, April 1 $ 51,764 $152,477 $204,241 costs added during April 191,452 232,125 423,577 total costs 243,216 384,602 627,818.
the direct material unit cost using the weighted average process costing method.
Unit completed and transferred out = 18000+80000-44000 = 54000 Units
Equivalent unit of material = (18000*62%+36000*100%+44000*82%) = 83240
Equivalent unit of conversion = (18000*29%+36000*100%+44000*47%) = 61900
Cost per equivalent unit of material = 191452/83240 = 2.3
Cost per equivalent unit of conversion = 232125/61900 = 3.75
Cost of goods completed and transferred out =
(47160*2.3+41220*3.75)+204241 = $467284
Cost of goods completed and transferred out during April:
| Units | % Materials | EUP-Materials | % Conversion | EUP-Conversion | |
| Units completed and transferred out | 54000 | 100% | 54000 | 100% | 54000 | 
| Ending work in process | 44000 | 82% | 36080 | 47% | 20680 | 
| Total units | 98000 | 90080 | 74680 | ||
| Cost per equivalent unit of production: | Materials | Conversion | |||
| Cost of beginning work in process | 51764 | 152477 | |||
| Costs added during April | 191452 | 232125 | |||
| Total costs $ | 243216 | 384602 | |||
| ÷ Equivalent units of production | 90080 | 74680 | |||
| Cost per equivalent unit of production $ | 2.70 | 5.15 | 
| Cost of units completed and transferred out: | EUP | Cost per EUP | Total Cost | 
| Direct materials | 54000 | 2.70 | 145800 | 
| Conversion | 54000 | 5.15 | 278100 | 
| Total costs transferred out $ | 423900 |