A patient takes vitamin pills. Each day he must have at least 1080 IU of vitamin A, 14 mg of vitamin B,, and 240 mg of vitamin C. He can choose between pill 1, which contains 240 IU of vitamin A, 2 mg of vitamin B,, and 30 mg of vitamin C, and pill 2, which contains 120 IU of vitamin A, 2 mg of vitamin B,, and 40 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.)
A patient takes vitamin pills. Each day he must have at least 1080 IU of vitamin A, 14 mg of vitamin B,, and 240 mg of vitamin C. He can choose between pill 1, which contains 240 IU of vitamin A, 2 mg of vitamin B,, and 30 mg of vitamin C, and pill 2, which contains 120 IU of vitamin A, 2 mg of vitamin B,, and 40 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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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Transcribed Image Text:A patient takes vitamin pills. Each day he must have at least 1080 IU of vitamin A, 14 mg of vitamin B,, and 240 mg of vitamin C. He can choose between pill 1, which
contains 240 IU of vitamin A, 2 mg of vitamin B,, and 30 mg of vitamin C, and pill 2, which contains 120 IU of vitamin A, 2 mg of vitamin B,, and 40 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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