Thursday 26 June 2014
The Elixer Drug Company
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. a. Formulate a linear programming
model for this program. b. solve this model by using graphical analysis
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment