Final answer:
The cost per equivalent unit is calculated by dividing the total product costs by the equivalent units of production. In this case, the cost per equivalent unit would be $72.95.
Step-by-step explanation:
The cost per equivalent unit is calculated by dividing the total product costs by the equivalent units of production. To determine the equivalent units of production, we need to consider the units transferred out and the units in ending work in process inventory.
For the transferred units, the cost per unit is the total product costs divided by the number of units transferred out. In this case, 4,200 sets of skis were transferred out and the total product costs were $311,150. Therefore, the cost per unit is $311,150 / 4,200 = $74.18.
For the units in ending work in process inventory, we need to consider the percentage of completion. If 490 sets of skis are estimated to be 50 percent complete, then the equivalent units for these units would be 490 * 0.5 = 245 units. Therefore, the cost of the equivalent units for the units in ending work in process inventory would be 245 * $74.18 = $18,148.10.
Finally, to determine the cost per equivalent unit, we add the cost per unit for the transferred units and the cost of the equivalent units for the units in ending work in process inventory, and divide by the total equivalent units. In this case, the total equivalent units would be 4,200 + 245 = 4,445 units. Therefore, the cost per equivalent unit would be ($311,150 + $18,148.10) / 4,445 = $72.95.