How many of each pill should he buy in order to minimize his​ cost? What is the minimum​ cost?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A patient takes vitamin pills. Each day he must have at least 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 nothing of pill 1 and nothing of pill 2. The minimum cost is $ nothing.
​(Simplify your answers. Type integers or​ decimals.)
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