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In: Advanced Math

e Elixer Drug Company produces a drug from two ingredients. Each ingredient contains the same three...

e 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 1 gram of 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 contribute 1 unit each 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 to meet the antibiotic requirements at the minimum cost.

  1. Formulate a linear programming model for this problem.

  2. make a table

  3. Find critical points & evaluate the critical points

  4. find the regions

  5. Solve this model by using graphical analysis

Solutions

Expert Solution

Colby Messinger answered 2 years ago
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