A patient takes vitamin pills. Each day he must have at least 1260 IU of vitamin A, 55mg of vitamin B1,and 100mg of vitamin C. He can choose between pill 1, which contains 300 IU of vitamin A, 11mg of vitamin B1, and 10mg of vitamin C, and pill 2, which contains 180 IU of vitamin A, 11mg of vitamin B1, and 60mg of vitamin C. Pill 1 costs 30¢, and pill 2 costs 60¢.
a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost?
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. Is there any way he can avoid receiving that surplus while still meeting the other constraints and minimizing cost?
GIVEN DATA AS TABULAR FORM
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