BIZOMAT MAKEOS · Money

Process Selection Break-Even Quantity

Above what quantity does the process with higher set-up cost become cheaper?

Break-even quantity between two manufacturing methods with different set-up (or tooling) and unit costs, the cost of each at a planned quantity, and the cheaper choice.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Process A
Set-up and tooling costAUDFixed cost of method A for the batch (set-up, programming, simple tooling).
Cost per unitAUDVariable cost per unit by method A (machine time, labour, material differences).
Process B
Set-up and tooling costAUDFixed cost of method B (often higher for dedicated tooling or programming).
Cost per unitAUDVariable cost per unit by method B.
Order
Planned quantityunitsQuantity to be made (including expected repeat orders if tooling is kept).

What each input means

Open an input to see what it is, its units, the worked example and the common mistakes, with a small diagram.

Process A

What this means: Set-up and tooling cost
Illustration: Set-up and tooling costA stack of coins and a note representing the money amount Set-up and tooling cost.SAExample: 300 AUDSet-up and tooling cost
What it is
The one-off cost of getting method A ready for the batch: set-up, programming and any tooling made for the job.
Units and format
Enter a number in AUD: Australian dollars. The form accepts 0 AUD or more. Required: the tool does not calculate until every input is valid.
Example
The form opens with 300 AUD as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
A higher set-up cost for A moves the break-even quantity.
Get it right
Include only costs that recur with each batch or are bought for this job; shared equipment is not set-up cost.
What this means: Cost per unit
Illustration: Cost per unitA price tag on one unit of measure; Cost per unit is the cost for each unit (per hour, per kilogram and so on).CAcost foreach unitExample: 12 AUDCost per unit
What it is
The cost to make each unit by method A: machine time, labour and material differences.
Units and format
Enter a number in AUD: Australian dollars. The form accepts 0 AUD to 10000000 AUD. Required: the tool does not calculate until every input is valid.
Example
The form opens with 12 AUD as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the same cost basis for both methods, for example both including overhead.

Process B

What this means: Set-up and tooling cost
Illustration: Set-up and tooling costA stack of coins and a note representing the money amount Set-up and tooling cost.SBExample: 2500 AUDSet-up and tooling cost
What it is
The one-off cost of getting method B ready for the batch: set-up, programming and any dedicated tooling.
Units and format
Enter a number in AUD: Australian dollars. The form accepts 0 AUD or more. Required: the tool does not calculate until every input is valid.
Example
The form opens with 2500 AUD as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
Use the same cost basis as method A so the comparison is fair.
What this means: Cost per unit
Illustration: Cost per unitA price tag on one unit of measure; Cost per unit is the cost for each unit (per hour, per kilogram and so on).CBcost foreach unitExample: 4 AUDCost per unit
What it is
The cost to make each unit by method B: machine time, labour and material differences.
Units and format
Enter a number in AUD: Australian dollars. The form accepts 0 AUD to 10000000 AUD. Required: the tool does not calculate until every input is valid.
Example
The form opens with 4 AUD as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Get it right
If both unit costs are equal there is no break-even quantity.

Order

What this means: Planned quantity
Illustration: Planned quantityA row of identical items being counted; Planned quantity is how many there are.QExample: 200 unitsPlanned quantity
What it is
The number of units you plan to make, used to compare the total cost of each method.
Units and format
Enter a number in units: a count of units. The form accepts 1 units or more. Use a whole number. Required: the tool does not calculate until every input is valid.
Example
The form opens with 200 units as a worked example. It is an illustration, not a recommended value: replace it with your own figure.
Effect on the result
Above the break-even quantity, the method with the lower unit cost becomes cheaper.
Get it right
Include expected repeat orders if the tooling or programme will be kept for them.

Method and formulas

  1. Total cost = set-up + unit cost × quantity.
  2. Break-even quantity = (set-up B − set-up A) ÷ (unit cost A − unit cost B).
  3. Below break-even the lower set-up cost wins; above it the lower unit cost wins.
  4. Example: the default methods break even at 275 units; at 200 units process A is cheaper.

Limitations

  • Linear costs; learning, capacity limits and quality differences are not included.
  • Unit costs must be on the same basis (direct cost or full cost) for both methods.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Choose between manual and CNC, or laser and punch, for a batch
  • Decide when dedicated tooling pays
  • Explain quantity effects on quotes

Who it is for

  • Manufacturing engineers
  • Estimators
  • Production managers

What you get

  • Break-even quantity
  • Total and unit cost of each at the planned quantity
  • Cheaper process

Interpreting the result

  • Near the break-even quantity, choose on lead time, capacity or quality instead of cost.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 143–146. Topic reference; no source tables or recommended settings are reproduced.

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Open the Process Selection Break-Even Quantity calculator