A patient takes vitamin pills. Each day he must have at least 240 IU of vitamin A, 4 mg of vitamin B1, and 100 mg of vitamin C. He can choose between pill 1, which contains 150 IU of vitamin A, 1 mg of vitamin B1, and 20 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 1 mg of vitamin B1, and 30 mg of vitamin C. Pill 1 costs 254, and pill 2 costs 50. 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 $ (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. He is receiving 10 of vitamin A, mg of vitamin B1, and mg of vitamin C more than he needs. (Simplify your answers.)