Final answer:
The carrying value of the ending inventory under variable costing is calculated by multiplying the production variable cost per unit ($35) by the number of units remaining in inventory (100), resulting in $3,500.
Step-by-step explanation:
To calculate the carrying value of the ending inventory under variable costing, we must consider only the variable costs associated with the production of the units that remain in inventory. Since 7,210 units were produced and 7,110 units were sold, this leaves 100 units in inventory (7,210 produced - 7,110 sold).
The variable costs per unit for production are given as $35. We do not include the variable selling and administrative costs for the units that have not been sold. Therefore, the carrying value of the ending inventory will be the production variable cost per unit multiplied by the remaining units in inventory.
Carrying Value of Ending Inventory = Variable Cost per Unit × Units in Ending Inventory = $35 × 100 = $3,500.