A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 3 mg of vitamin B, and 35 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 1 mg of vitamin B, and 5 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B, and 25 mg of vitamin C. Pill 1 costs 30 cents, and pill 2 costs 60 cents. How many of each pill should the patient buy in order to minimize his cost? What is the minimum cost?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 3 mg of vitamin B, and 35 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 1 mg of vitamin B, and 5 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B, and 25 mg of vitamin C. Pill 1 costs 30 cents, and pill 2 costs 60 cents. How many of each pill should the patient buy in order to minimize his cost? What is the minimum cost? 

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