A patient takes vitamin pills. Each day he must have at least 1800 IU of vitamin A, 6 mg of vitamin B1 and 80 mg of vitamin C. He can choose between pill 1, which contains
420 IU of vitamin A,1 mg of vitamin B1 and 10 mg of vitamin C, and pill 2, which contains 180 IU of vitamin A, 1 mg of vitamin B1 20 mg of vitamin C. Pill 1 costs 15 cents 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 ( ) of pill 1 and ( ) of pill 2. The minimum cost is $
b. pt is receiving more than they need of at least one vitamin, Identify the vitamin and tell how much surplus he is receiving. Is there any way he can avoid receiving that surplus while still meeting other contraints and minimizing costs?
A patient takes vitamin pills. Each day he must have at least 1800 IU of vitamin...
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