Calculate the cost indifference point from fixed and variable costs to find the unit volume where two alternatives have equal total cost.

Signed differences: fixed = B − A; variable per unit = A − B.

Cost Indifference Point Formula

The following formula is used to calculate a cost indifference point.

CIP = DFC / DVCU
  • Where CIP is the cost indifference point
  • DFC is the fixed-cost difference, B minus A
  • DVCU is the unit variable-cost difference, A minus B

To calculate the Cost Indifference Point, divide the differential fixed costs by the differential variable costs per unit.

What is a Cost Indifference Point?

Definition:

A cost indifference point is the volume where two alternatives have equal total cost under the model F + V × Q. It is not necessarily a profit break-even point. Equal unit costs give either identical total costs at every volume or no intersection; a negative intersection lies outside nonnegative production.

How to calculate a Cost Indifference Point?

Example Problem:

The following example outlines how to calculate a Cost Indifference Point.

First, determine the differential fixed costs. In this example, the differential fixed costs are calculated to be $10,000.00.

Next, determine the differential variable costs per unit. In this case, the differential variable costs per unit are equal to $500.00.

Finally, calculate the Cost Indifference Point using the formula above:

CIP = DFC / DVCU

CIP = 10,000 /500

CIP = 20 units