A patient takes vitamin pills. Each day he must have at least 210 IU of vitamin A, 15 mg of vitamin B1, and 40 mg of vitamin C. He can choose between pill 1, which contains 90 IU of vitamin A, 3 mg of vitamin B1, and 5 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. Pill1 costs 15¢, and pill 2 costs 45¢. 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 4 of pill 1 and 1 of pill 2. The minimum cost is $ 1.05 . (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 patient takes vitamin pills. Each day he must have at least 210 IU of vitamin A, 15 mg of vitamin B1, and 40 mg of vitamin C. He can choose between pill 1, which contains 90 IU of vitamin A, 3 mg of vitamin B1, and 5 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. Pill1 costs 15¢, and pill 2 costs 45¢. 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 4 of pill 1 and 1 of pill 2. The minimum cost is $ 1.05 . (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 First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:A patient takes vitamin pills. Each day he must have at least 210 IU of vitamin A, 15 mg of vitamin B1, and 40 mg of vitamin C. He can choose between pill 1,
which contains 90 IU of vitamin A, 3 mg of vitamin B1, and 5 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 15¢, and pill 2 costs 45¢. 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 4 of pill 1 and 1 of pill 2. The minimum cost is $ 1.05 .
(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.)
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