A patient takes vitamin pills. Each day he must have at least 600 IU of vitamin A, 5 mg of vitamin B₁, and 90 mg of vitamin C. He can choose between pill 1, which contains 360 IU of vitamin A, 1 mg of vitamin B₁, and 15 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B₁, and 20 mg of vitamin C. Pill 1 costs 15¢, and pill 2 costs 45¢. 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? He should buy of pill 1 and of pill 2. The minimum cost is $ (Simplify your answers. Type integers or decimals.)
A patient takes vitamin pills. Each day he must have at least 600 IU of vitamin A, 5 mg of vitamin B₁, and 90 mg of vitamin C. He can choose between pill 1, which contains 360 IU of vitamin A, 1 mg of vitamin B₁, and 15 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B₁, and 20 mg of vitamin C. Pill 1 costs 15¢, and pill 2 costs 45¢. 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? He should buy of pill 1 and of pill 2. The minimum cost is $ (Simplify your answers. Type integers or decimals.)
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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3.3 #9. -part 3 is A. (No reduce surplus)
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A patient takes vitamin pills. Each day he must have at least 600 IU of vitamin A, 5 mg of vitamin B₁, and 90 mg of
vitamin C. He can choose between pill 1, which contains 360 IU of vitamin A, 1 mg of vitamin B₁, and 15 mg of vitamin
C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B₁, and 20 mg of vitamin C. Pill 1 costs 15¢, and pill 2
costs 45¢. Complete parts a and b below.
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a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost?
He should buy of pill 1 and of pill 2. The minimum cost is $.
(Simplify your answers. Type integers or decimals.)
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Transcribed Image Text: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.
He is receiving IU of vitamin A, mg of vitamin B₁, and mg of vitamin C more than he needs.
(Simplify your answers.)
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