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Microlesson · 5-min read

Batch Costing and Economic Batch Quantity (EBQ)

## Batch Costing

Batch costing is a form of specific order costing where articles are manufactured in predetermined lots (batches). The cost object is a batch, not a single unit of output (as in unit costing).

  • A batch is a number of units processed simultaneously through a manufacturing operation; inputs accumulate on the assembly line until the minimum batch size is reached.
  • It is uneconomical to make one item at a time. Example: making one pen of a design is far costlier than producing, say, 10,000 pens of the same design in a batch — batching spreads set-up cost and reduces unit cost.
  • Cost per unit in a batch = Total cost of the batch ÷ Number of units in the batch.

## Economic Batch Quantity (EBQ)

The batch size chosen is critical to achieving least cost. Total batch-production cost has two opposing components:

  • Machine set-up costs — fall as batch size rises (fewer set-ups).
  • Inventory holding (carrying) costs — rise as batch size rises (more units held).
Batch sizeSet-up costHolding cost
Larger↓ (fewer set-ups)↑ (more inventory)
Smaller↑ (more set-ups)↓ (less inventory)

EBQ is the batch size at which the total of set-up and holding costs is minimum:

> EBQ = √(2DS / C)

>

> where D = Annual demand for the product, S = Set-up cost per batch, C = Carrying cost per unit of production (per annum).

## Job Costing vs Batch Costing

Job CostingBatch Costing
Non-standard, non-repetitive products made to customer specifications against specific ordersHomogeneous products produced in continuous flow in lots
Cost determined for each jobCost determined in aggregate for the batch, then per-unit
Each job is unique and independentProducts in a batch are homogeneous, lacking individuality

Worked example

### Example 1

EBQ computation: Annual demand D = 24,000 units; set-up cost per batch S = ₹500; carrying cost per unit per annum C = ₹3.

EBQ = √(2 × 24,000 × 500 ÷ 3) = √(2,40,00,000 ÷ 3) = √80,00,000 ≈ 2,828 units per batch.

Number of set-ups (batches) per year = 24,000 ÷ 2,828 ≈ 8.5 batches.

⚠️ Common exam mistakes

  • Using carrying cost per batch instead of carrying cost per unit (C) in the EBQ formula, or omitting the factor 2.
  • Confusing the cost object: in batch costing the cost object is the batch (then averaged per unit), not a single unit as in unit costing.
  • Thinking a larger batch is always cheaper — beyond EBQ, rising holding costs outweigh the fall in set-up costs.
  • Treating batch costing like job costing — batch products are homogeneous, whereas jobs are unique and customer-specific.
Reference:
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