A patient lakes vitamin pills. Each day he must have at least 270 IU of vitamin A, 4 mg of vitamin B1, and 100 mg of vitamin C. He can choose between pill 1, which contains 180 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 30, and pill 2 costs 60. Complete parts a and b below