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i am confused on what is not clear. AMPL is an alegrabic modeling language A manufacturer of soft drinks wishes to blend three sugars to
i am confused on what is not clear. AMPL is an alegrabic modeling language
A manufacturer of soft drinks wishes to blend three sugars to ensure uniformity of taste in a product. Suppliers only provide blends of the sugars, at varying costs per ton. Sugar Cane Corn Beet Cost/ton A 10% 30% 60% $10 B 10% 40% 50% $11 Supplier D E 20% 30% 40% 40% 20% 60% 40% 50% 0% $12 $13 $14 F G 20% 60% 70% 10% 10% 30% $12 $15 1. Formulate an (algebraic) mathematical programming model to minimize the cost of the sugar supplies while producing a blend that contains 52 tons of cane sugar, 56 tons of corn sugar, and 59 tons of beet sugar. Solve the problem using AMPL. 2. The manufacturer feels that to maintain good relations with suppliers it is necessary to buy at least 10 tons from each. Modify the model in part 1 to accommodate this requirement and solve using AMPL. 3. Formulate an alternative to the model in part 1 that finds the lowest cost way to blend one ton of supplies so that the amount of each sugar is between 30 and 37 percent of the total. Solve the problem using AMPL. A manufacturer of soft drinks wishes to blend three sugars to ensure uniformity of taste in a product. Suppliers only provide blends of the sugars, at varying costs per ton. Sugar Cane Corn Beet Cost/ton A 10% 30% 60% $10 B 10% 40% 50% $11 Supplier D E 20% 30% 40% 40% 20% 60% 40% 50% 0% $12 $13 $14 F G 20% 60% 70% 10% 10% 30% $12 $15 1. Formulate an (algebraic) mathematical programming model to minimize the cost of the sugar supplies while producing a blend that contains 52 tons of cane sugar, 56 tons of corn sugar, and 59 tons of beet sugar. Solve the problem using AMPL. 2. The manufacturer feels that to maintain good relations with suppliers it is necessary to buy at least 10 tons from each. Modify the model in part 1 to accommodate this requirement and solve using AMPL. 3. Formulate an alternative to the model in part 1 that finds the lowest cost way to blend one ton of supplies so that the amount of each sugar is between 30 and 37 percent of the total. Solve the problem using AMPL
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