Problem 10-23 Suppose your manager presents you with the following information a

Question

Problem 10-23 Suppose your manager presents you with the following information about machines that could be used for a job, and wants your recommendation on which one to choose. The specification width is .48 mm. In this instance, you can narrow the set of choices, but you probably wouldn't make a recommendation without an additional piece of information. (Round your answers to 3 decimal places.) Cost per Standard Deviation Machine Unit ($) 19 12 12 10 052 060 074 065 Process We can narrow the choices to processes Click to select) v Click to C and A B and C A and B

Explanation / Answer

Given values:

Specification width = 0.48 mm

Solution:

Capability ratio (Cp) is calculated as;

Cp = (Specification limit) / (6 x standard deviation)

Cp for each machine is calculated as below:

Machine A

Cp = 0.48 / (6 x 0.052)

Cp = 1.538

Machine B

Cp = 0.48 / (6 x 0.060)

Cp = 1.333

Machine C

Cp = 0.48 / (6 x 0.074)

Cp = 1.081

Machine D

Cp = 0.48 / (6 x 0.065)

Cp = 1.231

On the basis of the capability ratio (Cp), we can narrow down our choices to processes A and B as the desired value of Cp should be greater than or equal to 1.333.

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