a. The specification limits of a certain dimension of a product are38±3. Failure cost of a product falling outside the limits is $(40+10) for repair. Obtain and draw Taguchi’s quality loss function. 

b. If the mean and variance of the distribution of this dimension are 39.5 and 1.44, respectively, what is the nonconforming percentage of the production?

c. If the mean and variance of the distribution of this dimension are 39.5 and 1.44, respectively, what are the Cp and Cpk indices? Is the process capable?