Answer: The cost of the inventory reported in the balance sheet according to:
A. The concept of absorption costing is 289440.
B. The concept of variable costing is 264480.
Explanation: A. The concept of absorption costing charges to the cost of finished products: direct materials, direct labor, factory fixed overhead and factory variable overhead. We must calculate the cost of inventory by multiplying the number of units produced by unit manufacturing costs.
Direct materials: 4800 x $ 30.70 = 147360
Direct Labor: 4800 x $ 19.80 = 95040
Factory fixed overhead: 4800 x $ 5.20 = 24960
Factory variable overhead: 4800 x $ 4.60 = 22080
The total sum = 147360 + 95040 + 24960 + 22080 = 289440 is the inventory cost reported in the balance sheet.
B. The concept of variable costing charges only the variable elements at the cost of finished products: direct materials, direct labor and variable factory overhead. We must calculate the cost of inventory by multiplying the number of units produced by unit manufacturing costs:
Direct materials: 4800 x $ 30.70 = 147360
Direct Labor: 4800 x $ 19.80 = 95040
Factory variable overhead: 4800 x $ 4.60 = 22080
The total sum = 147360 + 95040 + 22080 = 264480 is the inventory cost that is reported in the balance sheet.