Final answer:
The ending inventory value using the average cost method is calculated as the total cost of all purchases divided by the total number of units purchased to get the average cost per unit, and then this average cost is applied to the units remaining at the end of the year. In this scenario, the ending inventory is $1,483.
Step-by-step explanation:
The student is asking how to calculate the ending inventory using the average cost method under a periodic inventory system. To find the ending inventory value, we first need to calculate the total cost of all purchases and then determine the average cost per unit before applying it to the units left at the end of the period.
Firstly, we calculate the total cost of purchases: (42 units × $104) + (71 units × $86) + (173 units × $62) = $4,368 + $6,106 + $10,726 = $21,200.
Now, we calculate the total number of units purchased, which is 42 + 71 + 173 = 286 units. The average cost per unit is then $21,200/286 units = $74.13 per unit.
Since 266 units were sold, we have 286 - 266 = 20 units left. Lastly, the value of the ending inventory using the average cost method is 20 units × $74.13 per unit = $1,482.60, rounded to the nearest whole dollar amount gives us $1,483. Therefore, the correct answer is C. $1,483.