el ul A patient takes vitamin pills. Each day he must have at least 360 IU of vitamin A, 4 mg of vitamin B₁, and 90 mg of

Question

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A patient takes vitamin pills. Each day he must have at least 360 IU of vitamin A, 4 mg of vitamin B₁, and 90 mg of vitamin C. He can choose between pill 1, which
contains 180 IU of vitamin A, 1 mg of vitamin B₁, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B₁, and 35 mg of vitamin C. Pill
1 costs 10¢, and pill 2 costs 30¢. Complete parts a and b below.
...
a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost?
of pill 2. The minimum cost is $.
He should buy of pill 1 and
(Simplify your answers. Type integers or decimals.)
b. For the solution in part a, the patient is receiving more than he needs of at least one vitamin. Identify that vitamin, and tell how much surplus he is receiving.
mg of vitamin C more than he needs.
He is receiving IU of vitamin A, mg of vitamin B₁, and
(Simplify your answers.)

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