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A patient takes vitamins pills. each day he must have at least 600 IU of vitamin...

A patient takes vitamins pills. each day he must have at least 600 IU of vitamin A, 4 mg of vitamin B, and 45 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 1 mg od vitamin B, and 5 mg of vitamin C, and pill 2 which contains 120 IU of vitamin A, 1 mg of vitamin B, and 30 mg of vitamin C. Pill 1 cost $0.10 and pill 2 cost $0.05. How many of each pill should he buy in order to minimize his cost? what is the minimum cost?

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