Linear Programming

A pharmacist produces a drug from two ingredients. Each ingredient contains the same three antibiotics in different proportions. Each ingredients A produced results 1380 in cost: each ingredient 8 results P50 in cost. The production of the antibiotics is dependent on the availability of limited resources. The resource requirements for the production are as follows. Antibiotics Resource Requirement Minimum Requirement Ingredient A Ingredient B Antibiotic 1 3 units 1 unit 6 Antibiotic 2 1 unit 1 unit 4 Antibiotic 3 2 units 6 units 12 The company wants to determine the quantity of ingredient A and B that must go into drug in order to meet the antibiotics minimum requirements at the minimum cost