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A patient takes vitamin pills. Each day he must have at least 2160 IU of vitamin A, 14 mg of vitamin Upper B 1, and

A patient takes vitamin pills. Each day he must have at least 2160 IU of vitamin A, 14 mg of vitamin Upper B 1, and 80 mg of vitamin C. He can choose between pill 1, which contains 360 IU of vitamin A, 2 mg of vitamin Upper B 1, and 10 mg of vitamin C, and pill 2, which contains 240 IU of vitamin A, 2 mg of vitamin Upper B 1, and 20 mg of vitamin C. Pill 1 costs 25cents, and pill 2 costs 75cents. Complete parts a and b below.

How many of each pill should he buy in order to minimize his cost? What is the minimum cost?

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