Answered: A patient takes vitamin pills. Each day…

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 420 IU of vitamin A, 8 mg of vitamin B,, and 45 mg of vitamin C. He can choose between pill 1, which contains 240 IU of vitamin A, 2 mg of vitamin By, and 5 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 2 mg of vitamin B, , and 30 mg of vitamin C. Pill 1 costs 20¢, and pill 2 costs 60¢. 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 $….? 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 B,, and….. mg of vitamin C more than he needs.

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