A pharmaceutical company produces a drug from four chemicals. Today the company must produce 1000 pounds of the drug. The three active ingredients in the drug are labeled A, B, and C. By weight, at least 8% of the drug must consist of A, at least 4% must consist of B, and at least 2% must consist of C. The cost per pound of each chemical and the amount of each active ingredient in 1 pound of each chemical are given below. It is necessary that at least 100 pounds of chemical 2 be used. Determine the cheapest way of producing today's batch of this drug.

Question

A pharmaceutical company produces a drug from four chemicals. Today the company must produce 1000 pounds of the drug. The three active ingredients in the drug are labeled A, B, and C. By weight, at least 8% of the drug must consist of A, at least 4% must consist of B, and at least 2% must consist of C. The cost per pound of each chemical and the amount of each active ingredient in 1 pound of each chemical are given below. It is necessary that at least 100 pounds of chemical 2 be used.  Determine the cheapest way of producing today's batch of this drug.

Quizplus · Accepted Answer

The Answer of A pharmaceutical company produces a drug from four chemicals. Today the company must produce 1000 pounds of the drug. The three active ingredients in the drug are labeled A, B, and C. By weight, at least 8% of the drug must consist of A, at least 4% must consist of B, and at least 2% must consist of C. The cost per pound of each chemical and the amount of each active ingredient in 1 pound of each chemical are given below. It is necessary that at least 100 pounds of chemical 2 be used.  Determine the cheapest way of producing today's batch of this drug.

A Pharmaceutical Company Produces a Drug from Four Chemicals