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Solution
Firstly determine the number of units in work in process inventory at the end of the month.
Units in process, Feb 1...... 7500
Units placed in production for Feb .... 135,000
Less: Units finished during Feb ...... 136,800
Units in process, Feb 29........ 5,700
Now, Determine the equivalent units of production for direct materials and conversion costs for March
129300
(136800-7500)
1. Direct materials cost per equivalent unit = total direct Materials costs for the period / total equivalent units for direct materials costs = 270000/135000 = $2
2. Conversion cost per equivalent unit = total conversion costs for the period (direct labor + factory overhead) /total equivalent units for conversion costs = (77520+43602)/134580 = $0.90
3. Cost of the beginning work in process completed during March
Work in process - Balance March 1. 18825
Conversion Costs Incurred during March (3,000*0.90)....2700
Cost of beg work in process completed during March... 21525
4.Costs of Units Started & Completed in Aug. = (2.00+0.90)*(Goods finished - beginning bal) = (2.00+0.90)*129300 = $374970
5.Direct Materials (2.00*5700)......10400
Conversion Costs (0.90*2280).......2052
Cost of ending Work in process...... 12452
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| Whole units | direct material units | conversation units | |
| Inventory in process, March 1 | 7500 | 0 | 3000 | 
| Started and completed | 129300 (136800-7500) | 129300 | 129300 | 
| Transfered and finished goods | 136800 | 129300 | 132300 | 
| Inventory in process March 31 | 5700 | 5700 | 2280(5700*40%) | 
| Total | 142500 | 135000 | 134580 | 

