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A Tailor Decides to Use Taguchi's Quality Loss Function to Analyze

question 66

Essay

A tailor decides to use Taguchi's quality loss function to analyze his shirt making process. Knowing it to be parabolic in shape and of the form L(y)= k(y - t)2 where t is the target, y is the actual measurement, and k is the process constant, the tailor decides to use a recent customer order to calculate his process parameters. He takes the custom shirt and measures the collar, which was requested to have a 17.5" collar but actually has a 17.75" collar. The customer notices the difference and demands a 50% reduction in the price of the shirt, which cost the tailor $45 to make. Instead of selling the shirt for $175, the tailor will reduce his price to $87.50. What is the tailor's process constant for a silk shirt?

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Definitions:

Sensory Receptors

Specific cells or nerve terminations that react to environmental alterations by creating electrical signals.

Ruffini End Organ

Sensory receptors located in the skin and tendons that detect skin stretch and joint activity, contributing to the sense of proprioception.

Merkel Disks

Slow-adapting tactile receptors in the skin that respond to light touch and pressure.

Cerebral Cortex

The outer layer of the brain's cerebrum, involved in many complex brain functions including memory, attention, perception, cognition, awareness, thought, language, and consciousness.

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