Final answer:
The weighted-average cost per unit under a perpetual inventory system is calculated by dividing the total cost of inventory by the total units of inventory, adjusted continuously as new inventory is purchased.
Step-by-step explanation:
To calculate the weighted-average cost per unit using a perpetual inventory system, you need to keep a running total of the inventory costs and the number of units purchased. Every time there is a purchase, the average cost per unit is recalculated to account for the new inventory. This method spreads out the cost of goods uniformly across all units.
The formula for calculating the weighted-average cost per unit is Total Cost of Inventory divided by Total Units of Inventory. As purchases are made, the Total Cost of Inventory is increased by the purchase amount, and the Total Units of Inventory is increased by the number of units purchased.
Each time a sale occurs, inventory is reduced by the number of units sold at the current weighted-average cost per unit.
For example, if a company starts with 100 units costing $5 each, and purchases an additional 100 units at $6 each, the new weighted-average cost after the purchase would be (($500 + $600) / (100 + 100 units)) = $5.50 per unit.
The complete question is:Sunland Company uses a perpetual inventory system and reports the following for the month of June. ((a1)) Calculate the weighted-average cost per unit, using a perpetual.