Final answer:
(a) The cost of the finished goods inventory reported on the balance sheet under absorption costing is $305,280.
(b) The cost of the finished goods inventory reported on the balance sheet under variable costing is $273,024.
Step-by-step explanation:
To determine the cost of the finished goods inventory reported on the balance sheet under absorption costing and variable costing, we need to calculate the unit cost for each concept and then multiply it by the number of units in the inventory.
Under absorption costing, the unit cost includes direct materials, direct labor, fixed factory overhead, and variable factory overhead.
Unit cost under absorption costing = Direct materials + Direct labor + Fixed factory overhead + Variable factory overhead
= $33.50 + $17.30 + $6.80 + $6.00 = $63.60
Now, we can calculate the cost of the finished goods inventory under absorption costing:
Cost of finished goods inventory under absorption costing = Unit cost under absorption costing * Number of units in inventory
= $63.60 * 4,800 = $305,280
Therefore, the cost of the finished goods inventory reported on the balance sheet under absorption costing is $305,280.
Under variable costing, the unit cost only includes direct materials, direct labor, and variable factory overhead.
Unit cost under variable costing = Direct materials + Direct labor + Variable factory overhead
= $33.50 + $17.30 + $6.00 = $56.80
Now, we can calculate the cost of the finished goods inventory under variable costing:
Cost of finished goods inventory under variable costing = Unit cost under variable costing * Number of units in inventory
= $56.80 * 4,800 = $273,024
Therefore, the cost of the finished goods inventory reported on the balance sheet under variable costing is $273,024.