How many of each pill should he buy in order to minimize his cost? What is the minimum cost?
How many of each pill should he buy in order to minimize his cost? What is the minimum cost?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A patient takes vitamin pills. Each day he must have at least 300
IU of vitamin A, 3 mg of vitamin B1, and 60 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 40 mg of vitamin C. Pill 1 costs
IU of vitamin A, 3 mg of vitamin B1, and 60 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 40 mg of vitamin C. Pill 1 costs
25¢, and pill 2 costs 50¢. 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 nothing of pill 1 and nothing of pill 2. The minimum cost is $ nothing.
(Simplify your answers. Type integers or decimals.)
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