Choose the one alternative that best completes the statement or answers the question.
-A doctor has told a patient to take vitamin pills. The patient needs at least 28 units of vitamin A, at least 8 units of vitamin C, and at least 76 units of vitamin D. The red vitamin pills cost 20¢ each and contain 8 units of A, 1
Unit of C, and 7 units of D. The blue vitamin pills cost 40¢ each and contain 3 units of A, 1 unit of C, and 11 units
Of D. How many pills should the patient take each day to minimize costs?
A) 8 red and 0 blue
B) 4 red and 4 blue
C) 3 red and 5 blue
D) 5 red and 3 blue

Question

Quizplus · Accepted Answer

To minimize costs while meeting the vitamin requirements, the patient should take 3 red and 5 blue pills. This combination provides exactly 28 units of vitamin A (3*8 from red + 5*3 from blue), 8 units of vitamin C (3*1 from red + 5*1 from blue), and 76 units of vitamin D (3*7 from red + 5*11 from blue), meeting the minimum requirements exactly or exceeding them at the lowest cost.

Choose the One Alternative That Best Completes the Statement or Answers