This answer results from calculating the per unit conversion cost in the Trim operation by dividing the total costs of $69,000 by the 5,000 units of Deluxe chairs worked on and then multiplying the per unit conversion cost by the 1,000 units in ending WIP inventory. However, the 1,000 units in ending WIP inventory were only 60% complete as to Trim operations. Therefore, the number of units in the divisor for the calculation of per unit cost is incorrect, and it is incorrect to multiply that per unit Trim operations cost by 1,000 units to calculate the ending WIP inventory. This is the total conversion cost of the finish operation. The 3,000 Deluxe units are 100% complete as to materials, 100% complete as to Extrusion Operation costs, and 100% complete as to Form Operation costs. However, 1,000 of the 3,000 units are only 60% complete as to Trim Operation costs. The costs per unit for the Deluxe model are as follows: Materials (all units are 100% complete as to materials): Extrusion materials: Total costs $36,000 ÷ 3,000 units produced = $12 per unit Form materials: Total costs $12,000 ÷ 3,000 units produced = $4 per unit Trim materials: Total costs $9,000 ÷ 3,000 units produced = $3 per unit Conversion costs: In calculating conversion costs per unit, we must use the total costs of each operation (for all models) and the total number of units of all models that went through each operation, because we do not have the costs broken down by model. Extrusion operation: Total costs $392,000 to produce 16,000 units = $24.50 per unit Forming operation: Total costs $132,000 to produce 11,000 units = $12.00 per unit Trim operation: Total costs $69,000 to produce 4,600 units (calculated as follows: 2,000 complete Executive units + 2,000 complete Deluxe units + 600 Deluxe equivalent units [60% of 1,000 partially complete Deluxe units]) = $69,000 ÷ 4,600 units = $15.00 per equivalent unit. Total costs in EWIP inventory for 1,000 Deluxe units that are 100% complete as to materials, 100% complete as to extrusion and form operations, and 60% complete as to trim operation are: Materials: ($12 + $4 + $3) × 1,000 units = $19,000 Conversion costs: ($24.50 × 1,000) + ($12.00 × 1,000) + ($15.00 × 600) = $45,500 Materials costs of $19,000 + Conversion costs of $45,500 = Total cost of $64,500. This is the total conversion cost of the trim operation.
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