Trout Company manufactures generic greeting cards.Material is introduced at the beginning of the process in the Printing department.Conversion costs are applied uniformly throughout the process.The weighted-average method of product costing is used.Data for the Printing department for the month of September follow: $\begin{array}{lr}\text { Work-in-process inventory, September } 1\\
\text { Units } & 22,500 \text { units } \
\text { Direct materials } 100 \% \text { complete) } & \$ 51,000 \
\text { Conversion costs 30\% complete) } & \$ 20,472\\\text { Units started in September } & 127,500 \text { units } \
\text { Units completed in September } & 125,000 \text { units } \
\text { Work-in-process inventory, September 30 } & 27,000 \text { units }\100 \% \text { complete with regard to materials }\\text { and } 60 \% \text { complete with regard to conversion costs) }\\\text { Direct materials added in September }&\$427,500\\text { Conversion costs added in September }&\$315,000
\end{array}$ The total cost of the ending work-in-process inventory is _____.

Question

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The total cost of the ending work-in-process inventory is calculated by adding the costs of direct materials and conversion costs for the units in the ending work-in-process inventory. For the ending inventory of 27,000 units, all materials are 100% complete, and conversion costs are 60% complete. The cost of materials for these units is already included in the \$427,500 of materials added in September. The conversion costs need to be calculated based on the percentage completion.First, calculate the total costs added in September:- Total direct materials: \$51,000 (beginning inventory) + \$427,500 (added in September) = \$478,500- Total conversion costs: \$20,472 (beginning inventory) + \$315,000 (added in September) = \$335,472Next, calculate the equivalent units for conversion costs for the ending inventory:- 27,000 units * 60% = 16,200 equivalent units for conversion costsCalculate the cost per equivalent unit:- Cost per equivalent unit for materials = \$478,500 / (22,500 + 127,500) = \$3 per unit (since all units are 100% complete for materials)- Cost per equivalent unit for conversion = \$335,472 / (22,500*30% + 127,500*100%) = \$2.4 per unitCalculate the cost of ending inventory:- Materials cost for ending inventory = 27,000 units * \$3 = \$81,000- Conversion cost for ending inventory = 16,200 equivalent units * \$2.4 = \$38,880- Total cost of ending inventory = \$81,000 + \$38,880 = \$119,880However, given the options provided and the calculation process, it seems there might have been a mistake in the calculation process or in interpreting the options. Based on the provided data and typical calculation methods for weighted-average costing in process costing systems, the correct approach involves calculating the cost per equivalent unit for both materials and conversion costs and applying these to the equivalent units in the ending inventory. The discrepancy suggests a need to reevaluate the calculation steps or the provided options.

Trout Company Manufactures Generic Greeting Cards The Total Cost of the Ending Work-In-Process Inventory Is _____