8-24. Bob Bell's fortieth birthday party promised to be the social event of the year in...

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8-24. Bob Bell's fortieth birthday party promised to be the social event of the year in Cookeville To prepare, Bob stocked up on the following liquors: AMOUNT ON HAND (OUNCES ) LIQUOR Bourbon 52 Brandy 38 Vodka 64 Dry vermouth 24 Sweet vermouth 36 2 Bob decides to mix four drinks for the party Chaunceys Sweet Italians, bourbon on the rocks and Russian martinis A Chauncey consists of 1/4 bourbon, 1/4 vodka, 1/4 brandy and 1/4 sweet vermouth. A Sweet Italian contains 1/4 brandy, 1/2 sweet vermouth, and 1/4 dry vermouth. Bourbon on the rocks contains only bourbon . Finally a Russian martini consists of 1/3 dry 3 vermouth and 2/3 vodka Each drink contains 4 fluid ounces. Bob's objective is to mix these ingredients in such a way as to make the largest possible number of drinks in advance. (a) Formulate using LP. (b) Solve using LP software. 8-25. Marc Smith's construction firm currently has three projects under way in various counties in Iowa. Each requires a specific supply of gravel Three gravel pits are available in Iowa to provide for Smith's needs, but shipping costs differ from location to location The following table summarizes the problem Smith faces Determine the optimal shipping assignment so as to minimize total costs: JOB 1 JOB 2 JOB 3 FROM TONNAGE ALLOWANCE Dubuque pit $6 $8 $10 150 Davenport pit $7 $11 $11 175 Des Moines pit $4 $5 $12 275 Job requirements (tons) 200 80 100 300 600 8-24. Bob Bell's fortieth birthday party promised to be the social event of the year in Cookeville To prepare, Bob stocked up on the following liquors: AMOUNT ON HAND (OUNCES ) LIQUOR Bourbon 52 Brandy 38 Vodka 64 Dry vermouth 24 Sweet vermouth 36 2 Bob decides to mix four drinks for the party Chaunceys Sweet Italians, bourbon on the rocks and Russian martinis A Chauncey consists of 1/4 bourbon, 1/4 vodka, 1/4 brandy and 1/4 sweet vermouth. A Sweet Italian contains 1/4 brandy, 1/2 sweet vermouth, and 1/4 dry vermouth. Bourbon on the rocks contains only bourbon . Finally a Russian martini consists of 1/3 dry 3 vermouth and 2/3 vodka Each drink contains 4 fluid ounces. Bob's objective is to mix these ingredients in such a way as to make the largest possible number of drinks in advance. (a) Formulate using LP. (b) Solve using LP software. 8-25. Marc Smith's construction firm currently has three projects under way in various counties in Iowa. Each requires a specific supply of gravel Three gravel pits are available in Iowa to provide for Smith's needs, but shipping costs differ from location to location The following table summarizes the problem Smith faces Determine the optimal shipping assignment so as to minimize total costs: JOB 1 JOB 2 JOB 3 FROM TONNAGE ALLOWANCE Dubuque pit $6 $8 $10 150 Davenport pit $7 $11 $11 175 Des Moines pit $4 $5 $12 275 Job requirements (tons) 200 80 100 300 600