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A patient takes vitamin pills. Each day he must have at least 240 IU of vitamin...

A patient takes vitamin pills. Each day he must have at least 240 IU of vitamin A, 15 mg of vitamin Upper B 1 , and 30 mg of vitamin C. He can choose between pill 1, which contains 120 IU of vitamin A, 3 mg of vitamin Upper B 1 , and 5 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 3 mg of vitamin Upper B 1 , and 10 mg of vitamin C. Pill 1 costs 10cents , and pill 2 costs 5cents. 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?

a) He should buy_____of pill 1 and____of pill 2. The minimum cost is $_____. (Simplify your answers. Type integers or decimals.)

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.

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