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Dr. Deming presented many seminars and some of those quotes are from those seminars – as this one (and versions of it) are likely from.

From page 155 of Out of the Crisis:

“Survival of the fittest. Who will survive? Companies that adopt constancy of purpose for quality, productivity, and service, and go about it with intelligence and perseverance, have a chance to survive. They must, of course, offer products and services that have a market. Charles Darwin’s law of survival of the fittest, and that the unfit do not survive, holds in free enterprise as well as in natural selection. It is a cruel law, unrelenting. Actually, the problem will solve itself. The only survivors will be companies with constancy of purpose for quality, productivity, and service.”