Nancy Kemps fortieth birthday party promised to be the social event of the year in Richmond. In preparation, Nancy stocked up on the following liquors

Amount stocked

Liquor (ounces)

Bourbon 52

Brandy 38

Vodka 64

Dry vermouth 24

Sweet vermouth 36

Bob decides to mix four drinks for the party: Chaunceys, Sweet Italians, bourbon on the rocks, and Russian martinis. A Chauncey consists of bourbon, vodka, brandy, and sweet vermouth. A Sweet Italian contains brandy, sweet vermouth, and dry vermouth. Bourbon on the rocks contains only bourbon. Finally, a Russian martini consists of 1/3 dry vermouth and 2/3 vodka. Each drink contains 4 fluid ounces. Bobs objective is to mix these ingredients in such a way as to make the largest possible number of drinks in advance. Formulate the linear program for this problem and solve.