a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy 22 of pill 1 and 11 of pill 2. The minimum cost is $11. (Simplify your answers. Type integers or decimals.) 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 B1, and ___mg of vitamin C more than he needs. (Simplify your answers.)
a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy 22 of pill 1 and 11 of pill 2. The minimum cost is $11. (Simplify your answers. Type integers or decimals.) 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 B1, and ___mg of vitamin C more than he needs. (Simplify your answers.)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 11P
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Topic Video
Question
A patient takes vitamin pills. Each day he must have at least
Complete parts a and b below.
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 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 22 of pill 1 and 11 of pill 2. The minimum cost is $11.
(Simplify your answers. Type integers or decimals.)
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 B1,
and ___mg of vitamin C more than he needs.
and ___mg of vitamin C more than he needs.
(Simplify your answers.)
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