Quality or Quantity, what is the most important?

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In production, this is an issue , many in manufacturing have dealt with.We see all the commercials , telling us how important quality is , and how the maker assure the quality of the product.Quality is priority one, is what most will say. But what happens in a plant when production has been substandard all day long, and some time during the evening hours, a major machine break down occurs, causing 4 hours of down time? Either some one doesn't get there order that day, or , in some plants, mandatory over time goes into force, causing a crew, who is already exhausted, stays over to make the necessary needs. What do you think the chances of making a quality product are, under these conditions?