The Elixer Drug Company produces a drug from two ingredients. Each ingredient contains the same three antibiotics in different proportions. One gram of ingredient 1 contributes 3 units, and ingredient 2 contributes 1 unit of antibiotic 1; the drug requires 6 units. At least 4 units of antibiotic 2 are required, and the ingredients each contribute 1 unit per gram. At least 12 units of antibiotic 3 are required; a gram of ingredient 1 contributes 2 units, and a gram of ingredient 2 contributes 6 units. The cost for a gram of ingredient 1 is $80, and the cost for a gram of ingredient 2 is $50. The company wants to formulate a linear programming model to determine the number of grams of each ingredient that must go into the drug in order to meet the antibiotic requirements at the minimum cost.

Formulate a linear programming model for this program.

The Elixer Drug Company produces a drug from two ingredients. Each

ingredient contains the same three antibiotics in different proportions.

One gram of ingredient 1 contributes 3 units, and ingredient 2

contributes 1 unit of antibiotic 1; the drug requires 6 units. At least

4 units of antibiotic 2 are required, and the ingredients each

contribute 1 unit per gram. At least 12 units of antibiotic 3 are

required; a gram of ingredient 1 contributes 2 units, and a gram of

ingredient 2 contributes 6 units. The cost for a gram of ingredient 1

is $80, and the cost for a gram of ingredient 2 is $50. The company

wants to formulate a linear programming model to determine the number of

grams of each ingredient that must go into the drug in order to meet the

antibiotic requirements at the minimum cost.

Formulate a linear programming model for this program.

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