Raphael's Refining uses a weighted average process costing system. For a particular period, its opening inventory consisted of 100 items (60 per cent complete as to conversion costs) whose costs were $1600 made up of material $300 and conversion cost $1300. During the month, 1000 items were started and 950 were completed. Ending inventory of WIP was one-third complete. There was no spoilage. Costs placed in process during the month were materials $1600 and conversion costs $13 700. Materials are added at the halfway point. What is the amount of cost that would be allocated to goods completed in the period?
A) $14 615
B) $16 513
C) $16 900
D) $16 150

Question

Quizplus · Accepted Answer

To calculate the cost allocated to goods completed, we first need to determine the total costs and equivalent units for materials and conversion costs. 1. **Total Costs**:    - Opening inventory costs: $1,600   - Costs added during the period: Materials $1,600 + Conversion costs $13,700 = $15,300   - Total costs: $1,600 (opening) + $15,300 (added) = $16,9002. **Equivalent Units**:   - **Materials**: Since materials are added at the halfway point, all completed items and those in ending inventory past the halfway point are counted as 100% for materials. Thus, 950 completed items + 50 (half of the 100 started but not completed) = 1,000 equivalent units for materials.   - **Conversion Costs**: The opening inventory was 60% complete, and the ending inventory was one-third complete.      - For the opening inventory of 100 items, 60% were complete as to conversion costs, so 40% was remaining.      - For the ending inventory of 50 items (1,000 started - 950 completed = 50 not completed), they were one-third complete.      - Thus, equivalent units for conversion costs are: 950 completed + (100 * 40%) + (50 * 33.33%) = 950 + 40 + 16.665 ≈ 1007 equivalent units for conversion.3. **Cost per Equivalent Unit**:   - Materials: $16,900 total materials cost / 1,000 equivalent units = $16.90 per unit   - Conversion: $15,300 total conversion cost / 1007 equivalent units ≈ $15.19 per unit4. **Cost Allocated to Goods Completed**:   - For materials: 950 units * $16.90 = $16,055   - For conversion (for completed goods, the full conversion cost applies): 950 units * $15.19 ≈ $14,430.5   - Total cost allocated to goods completed = $16,055 (materials) + $14,430.5 (conversion) ≈ $30,485.5However, the calculation above seems to have misinterpreted the distribution of costs. Let's correct the approach focusing on the costs to be allocated to completed goods:- The total costs available for allocation are $16,900.- The costs need to be allocated based on equivalent units for both materials and conversion costs.- Given the error in the detailed calculation, we should focus on the correct method to allocate costs to completed goods, which involves calculating the equivalent units correctly and then applying the cost per equivalent unit to the completed goods.The correct answer, based on the options provided and the need to recalculate based on the correct allocation method, would be to consider the total costs and how they are divided among completed and in-progress goods, taking into account the stage of completion for materials and conversion costs. The provided options and calculations suggest a misunderstanding in the allocation process, as the total costs and the method of calculating equivalent units directly influence the cost allocated to completed goods. Without the exact breakdown of the corrected calculation, the intended correct answer based on the options given is D) $16,150, assuming a recalculated approach that accurately allocates the total costs of $16,900 between completed goods and ending inventory based on equivalent units for materials and conversion costs.

Raphael's Refining Uses a Weighted Average Process Costing System