A patient takes vitamin pills. Each day he must have at least 1080 IU of vitamin A, 16 mg of vitamin B₁, and 200 mg of vitamin C. He can choose between pill 1, which contains 150 IU of vitamin A, 2 mg of vitamin B₁, and 20 mg of vitamin C, and pill 2, which contains 120 IU of vitamin A, 2 mg of vitamin B₁, and 40 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 $
A patient takes vitamin pills. Each day he must have at least 1080 IU of vitamin A, 16 mg of vitamin B₁, and 200 mg of vitamin C. He can choose between pill 1, which contains 150 IU of vitamin A, 2 mg of vitamin B₁, and 20 mg of vitamin C, and pill 2, which contains 120 IU of vitamin A, 2 mg of vitamin B₁, and 40 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 $
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:A patient takes vitamin pills. Each day he must have at least
1080 IU of vitamin A, 16 mg of vitamin B₁, and 200 mg of
vitamin C. He can choose between pill 1, which contains 150
IU of vitamin A, 2 mg of vitamin B₁, and 20 mg of vitamin C,
and pill 2, which contains 120 IU of vitamin A, 2 mg of vitamin
B₁, and 40 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 $
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