A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 3 mg of vitamin B₁, and 50 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 30 mg of vitamin C. Pill 1 costs 20¢, and pill 2 costs 40¢. 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 300 IU of vitamin A, 3 mg of vitamin B₁, and 50 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 30 mg of vitamin C. Pill 1 costs 20¢, and pill 2 costs 40¢. 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.)
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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This is my second time submitting this question it’s really important to me to get his answer right.
#9 3.3 (part c. is no reduce surplus)
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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 1560 IU of vitamin A, 1. mg of vitamin B₁, and 0 mg of vitamin C more than he needs.
(Simplify your answers.)
Transcribed Image Text:←
9
A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 3 mg of vitamin B₁, and 50 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 30 mg of vitamin C. Pill 1 costs 20¢, and pill 2
costs 40%. Complete parts a and b below.
View an example
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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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