Question

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?

Answer 1

GIVEN DATA AS TABULAR FORM

1 A)

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