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A pharmaceutical company is made from three ingredients, labeled A, B, and C. In each batch of the drug mixture, the amounts of ingredient B

A pharmaceutical company is made from three ingredients, labeled A, B, and C. In each batch of the drug mixture, the amounts of ingredient B and C must be in the ratio of 5 to 3. The amount of chemistry must be at least 29 kg. The percent of nitrogen in the three ingredients is 8%, 4%, and 5%, respectively. The three chemicals cost $1.03, $0.83, and $0.68 per kilogram, respectively. Determine how much of each should be used to minimize the cost of producing at least 650 kg of drug.

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