A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 15 mg of vitamin B1, and 60 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 3 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 3 mg of vitamin B1, and 20 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? He should buy of pill 1 and of pill 2. The minimum cost is $. (Simplify your answers. Type integers or decimals.)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 15 mg of vitamin B1, and 60 mg of vitamin C. He can choose between pill 1, which contains
180 IU of vitamin A, 3 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 3 mg of vitamin B1, and 20 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?
He should buy of pill 1 and of pill 2. The minimum cost is $.
(Simplify your answers. Type integers or decimals.)
Transcribed Image Text:A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 15 mg of vitamin B1, and 60 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 3 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 3 mg of vitamin B1, and 20 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? 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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