Question

In: Operations Management

When is Cpk = Cpu = Cpl = Cp?

Expert Solution

Cpk = Cpu = Cpl = Cp when the mean is centered between Upper Specification Limit USL and Lower Specification limit LSL

Cp =

When Mean is centered between USL and LSL, USL - = - LSL

Cpu =

USL = 3 * Cpu +

Cpl =

LSL = - 3 * Cpl

Cpk = min (, )

As seen from above, when USL - = - LSL, Cpu = Cpl = Cpk

Similarly, Cp = = =

However, Cpu = Cpl, Cp = = Cpu

Hence, Cp = Cpu

Thus, Cpk = Cpu = Cpl = Cp

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