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Microlesson · 5-min read

Indifference Point

# Indifference Point

## Concept

Often management must choose between two alternatives — say two technologies, two machines, or two suppliers — each with a different combination of variable and fixed costs.

  • Option A: low fixed cost, high variable cost per unit
  • Option B: high fixed cost, low variable cost per unit

The Indifference Point is the level of output (or sales) at which the total cost (Fixed + Variable) under both options is identical — i.e., management is indifferent.

## Formula

$$\text{Indifference Point (units)} = \frac{\text{Difference in Total Fixed Cost}}{\text{Difference in Variable Cost per unit}}$$

## Decision Rule

Actual OutputChoose
Above Indifference PointOption with LESS variable cost (higher fixed cost) — lower variable cost saves more than the extra fixed cost
Equal to Indifference PointAny option — both yield identical cost
Below Indifference PointOption with LESS fixed cost (higher variable cost) — savings on fixed cost outweigh the extra variable cost

## Logic

For each unit produced above the indifference point, the option with the lower variable cost saves money. Below the indifference point, those savings haven't accumulated enough to offset the extra fixed cost.

Worked example

### Example 1

Example: Option 1 — VC ₹15/unit, FC ₹50,000. Option 2 — VC ₹10/unit, FC ₹1,00,000.

  • ΔFixed Cost = 1,00,000 − 50,000 = ₹50,000
  • ΔVariable Cost/unit = 15 − 10 = ₹5
  • Indifference Point = 50,000 / 5 = 10,000 units

Decision:

  • If expected output is 15,000 units → choose Option 2 (lower VC).
  • If expected output is 8,000 units → choose Option 1 (lower FC).
  • Verify at 10,000 units: Option 1 = 50,000 + 15×10,000 = ₹2,00,000; Option 2 = 1,00,000 + 10×10,000 = ₹2,00,000 ✓

⚠️ Common exam mistakes

  • Inverting the formula — placing ΔVC in the numerator and ΔFC in the denominator.
  • Applying indifference-point logic to sales revenue instead of cost — the concept is about cost equivalence, not profit.
  • Choosing the wrong option for high volumes — at high output, savings in variable cost compound, so the high-FC/low-VC option wins.
  • Forgetting that the indifference point is volume-specific — a decision made at the wrong assumed volume can mislead.
Reference:
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