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Food Storage Technologies produces refrigeration units for food producers and retail food establishments. The overall average temperature that these units maintain is 46 degrees Fahrenheit. The average range of the process, based on an x-bar chart, is a total of 3 degrees Fahrenheit. The customer requires the units to operate between 43 and 49 degrees Fahrenheit.

The Cpk of the process is:

A. 0.33
B. 0.67
C. 1.0
D. 1.5

Answer :

Final answer:

The CpK of the process for the refrigeration units of Food Storage Technologies, given the customer's specifications and the average range of the process, is 1.0.

Explanation:

To calculate the Cpk of the process for the refrigeration units of Food Storage Technologies, you would need to consider the customer's specifications and the average range of the process. The customer's specifications allow for a 6 degree Fahrenheit range (49 degrees - 43 degrees), with a target of 46 degrees. The average range is 3 degrees.

According to the calculation for Cpk, where Cpk is the minimum of [USL - μ / 3σ, μ - LSL / 3σ] (in this case, USL is upper spec limit or 49 degrees, μ is the process average or 46 degrees, σ is the process standard deviation or 1 degree (since the average range of 3 degrees / 3 = 1), and LSL is the lower spec limit or 43 degrees), the answer will be the minimum of[(49 - 46) / 3*1, (46 - 43) / 3*1] = minimum of [1.0, 1.0].

Therefore, the CpK of the process is 1.0 (option c).

Learn more about CpK calculation here:

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