The minimum cost is $________.
A patient takes vitamin pills. Each day he must have at least 540 IU of vitamin A, 35 mg of vitamin B, and 80 mg of vitamin C. He can choose between pill 1, which contains 180 IU of vitamin A, 5 mg of vitamin B , and 10 mg of vitamin C, and pill 2, which contains 60 IU of vitamin A, 5 mg of vitamin , and 20 mg of vitamin C. Pill 1 costs 30 cent , and pill 2 costs 15 cent . 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. 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
____ IU of vitamin A,
_____ mg of vitamin B,
______ mg of vitamin c more than he needs
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