Absorption vs. variable costing: illustrative problem
Illustrative problem: absorption vs. variable costing
Absorption costing carries fixed manufacturing overhead in inventory as a product cost, while variable costing expenses it immediately as a period cost.
A company manufactures a single product. The following data is provided for the month:
| Description | Amount |
| Beginning inventory | 0 units |
| Units produced | 10,000 units |
| Units sold | 8,000 units |
| Selling price per unit | $15.00 |
| Variable manufacturing cost per unit | $6.00 |
| Total fixed manufacturing overhead | $40,000 |
| Variable selling & administrative cost | $2.00 per unit sold |
| Fixed selling & administrative expenses | $20,000 |
Required:
- Compute unit product cost under absorption and variable costing.
- Prepare an income statement under each method.
- Reconcile the difference in operating income.
1. Unit product cost comparison
| Cost component | Absorption costing | Variable costing |
| Direct materials + labor + VMOH | $6.00 | $6.00 |
| Fixed manufacturing OH/unit | $4.00 ($40,000 ÷ 10,000) | – |
| Total unit product cost | $10.00 | $6.00 |
2. Operating income comparison
| Income statement | Absorption costing | Variable costing |
| Sales (8,000 × $15) | $120,000 | $120,000 |
| COGS | (8,000 × $10) = $80,000 | (8,000 × $6) = $48,000 |
| Gross margin | $40,000 | – |
| Variable selling & admin (8,000 × $2) | $16,000 | $16,000 |
| Contribution margin | – | $56,000 |
| Fixed selling & admin | $20,000 | $20,000 |
| Fixed manufacturing OH (period cost) | – | $40,000 |
| Operating income | $4,000 | –$4,000 |
Absorption income is $8,000 higher because the 2,000 units added to inventory this month carry $4 of fixed overhead each, deferred instead of expensed.
3. Reconciliation of income difference
| Reconciliation item | Amount |
| Difference in operating income (Absorption – Variable) | $8,000 |
| Reason: Fixed OH deferred in ending inventory | |
| = 2,000 units × $4 fixed OH/unit | $8,000 |
Joint and by-product costing, activity-based costing, overhead allocation, and cost of quality are each covered in their own dedicated chapters later in the course.