Final answer:
The weighted-average cost method involves calculating the average cost per unit by dividing the total cost of all inventory by the total number of units. The ending inventory value using this method is $2,185.50, and the cost of goods sold for the year is $36,425.
Step-by-step explanation:
To calculate the ending inventory and the cost of goods sold (COGS) using the weighted-average cost method, we start by determining the average cost per unit. First, we add up the total cost of all inventory purchases including the beginning inventory, and then we divide that by the total number of units to find the average cost per unit.
Calculation Steps:
Compute total cost of beginning inventory and purchases:
Total Cost = $2,720 + $19,170 + $16,720 = $38,610
Compute total number of units:
Total Units = 40 + 270 + 220 = 530 units
Determine the weighted-average cost per unit:
Average Cost = Total Cost / Total Units = $38,610 / 530 units = $72.85 per unit
Calculate the cost of goods sold:
COGS = Units Sold × Average Cost per Unit = 500 × $72.85 = $36,425
Calculate ending inventory:
Ending Inventory = (Total Units - Units Sold) × Average Cost per Unit = (530 - 500) × $72.85 = 30 × $72.85 = $2,185.50
Therefore, the ending inventory value is $2,185.50 and the cost of goods sold for the year is $36,425.