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Usable output quantity — Multi-Stage Production Yield Calculator

Multi-Stage Production Yield: Calculate usable output quantity from Starting quantity, Loss per stage, Number of stages. Check the formula, input units and worked result on this page.

Enter your values

Formula symbol: input. Enter a numeric value. Must be greater than zero.
%
Formula symbol: loss. Enter the percentage as a number: for 15%, enter 15. Use a non-negative value. Allowed range: 0–99.999.
Formula symbol: stages. Enter a numeric value. Use a whole number. Must be greater than zero. Allowed range: 1–100.

Use a decimal point, without thousands separators.

Stages share a loss rate and no rework is modelled. The result is a quantity relation, not defect causation or a probability distribution.
Example result
Usable output quantity
81

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

The same loss rate is applied to the remaining quantity at each stage; rates are not added. This form solves for usable output quantity; enter the known quantities in Starting quantity, Loss per stage, Number of stages.

Inputs and units
Usable output quantity — Multi-Stage Production Yield Calculator · Inputs and units
InputExample valueWhat to enter
Starting quantity100Formula symbol: input. Enter a numeric value. Must be greater than zero.
Loss per stage10 %Formula symbol: loss. Enter the percentage as a number: for 15%, enter 15. Use a non-negative value. Allowed range: 0–99.999.
Number of stages2Formula symbol: stages. Enter a numeric value. Use a whole number. Must be greater than zero. Allowed range: 1–100.
good = (input * ((1 - (loss / 100)) ^ stages))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Starting quantity
100
Loss per stage
10 %
Number of stages
2

Complete example results

Usable output quantity
81

Reading the result

The result solves for usable output quantity from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the usable output quantity result?

Stages share a loss rate and no rework is modelled. The result is a quantity relation, not defect causation or a probability distribution.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: support.minitab.com

Methods & accuracy

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