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A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 8 mg of vitamin B1, and 80 mg of vitamin C. He can choose between pill 1, which contains 120 IU of vitamin A, 2 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 2 mg of vitamin B1, and 50 mg of vitamin C. Pill 1 costs 30¢, 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.)

A patient takes vitamin pills. Each day he must have at least 300 IU of vitamin A, 8 mg of vitamin B1, and 80 mg of vitamin C. He can choose between pill 1, which contains 120 IU of vitamin A, 2 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 2 mg of vitamin B1, and 50 mg of vitamin C. Pill 1 costs 30¢, 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.)

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 300 IU of vitamin A, 8 mg of vitamin B1, and 80 mg of vitamin C. He can choose between pill 1, which contains 120 IU of vitamin A, 2 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 2 mg of vitamin B1, and 50 mg of vitamin C. Pill 1 costs 30¢, 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 300 IU of vitamin A, 8 mg of vitamin B1, and 80 mg of vitamin C. He can choose between pill 1, which contains 120 IU of vitamin A, 2 mg of vitamin B1, and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 2 mg of vitamin B1, and 50 mg of vitamin C. Pill 1 costs 30¢, 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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