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A patient takes vitamin pills. Each day he must have at least 540 IU of vitamin A, 3 mg of vitamin B,, and 70 mg of vitamin C. He can choose between pill 1, which contains 420 IU of vitamin A 1 mg of vitamin B,, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B,, and 50 mg of vitamin C. Pill 1 costs 20¢, and pill 2 costs 60¢. 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 (Simplify your answers. Type integers or decimals.) of pill 1 and of pill 2. The minimum cost is $

A patient takes vitamin pills. Each day he must have at least 540 IU of vitamin A, 3 mg of vitamin B,, and 70 mg of vitamin C. He can choose between pill 1, which contains 420 IU of vitamin A 1 mg of vitamin B,, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B,, and 50 mg of vitamin C. Pill 1 costs 20¢, and pill 2 costs 60¢. 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 (Simplify your answers. Type integers or decimals.) of pill 1 and of pill 2. The minimum cost is $

Advanced Engineering Mathematics
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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A patient takes vitamin pills. Each day he must have at least 540 IU of vitamin A, 3 mg of vitamin B,, and 70 mg of vitamin C. He can choose between pill 1, which contains 420 IU of vitamin A 1 mg of vitamin B,, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B,, and 50 mg of vitamin C. Pill 1 costs 20¢, and pill 2 costs 60¢. 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 540 IU of vitamin A, 3 mg of vitamin B,, and 70 mg of vitamin C. He can choose between pill 1, which contains 420 IU of vitamin A 1 mg of vitamin B,, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 1 mg of vitamin B,, and 50 mg of vitamin C. Pill 1 costs 20¢, and pill 2 costs 60¢. 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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