Question: A high quality wine is typically identified by three attributes: (a) its vintage, (b) its variety, and (c) its region. For example, the Optima

A high quality wine is typically identified by three attributes: (a) its vintage, (b) its variety, and (c) its region. For example, the Optima Winery of Santa Rosa, California produced a wine with a label that stated: 1984, Cabernet Sauvignon, Sonoma County. The wine in the bottle may be a blend of wines, not all of which need be of the vintage, variety, and region specified on the label. In this case, the state of California and the U.S. Department of Alcohol, Tobacco, and Firearms strictly enforce the following limits. To receive the label 1984, Cabernet Sauvignon, Sonoma County, at least 95% of the contents must be of 1984 vintage, at least 75% of the contents must be Cabernet Sauvignon, and at least 85% must be from Sonoma County. How small might be the fraction of the wine in the bottle that is of 1984 vintage and of the Cabernet Sauvignon variety and from grapes grown in Sonoma County?

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