Use Linear Programming to Solve Problems
-A Doctor Has Told $B$

Multiple Choice

Use Linear Programming to Solve Problems
-A doctor has told a sick patient to take vitamin pills. The patient needs at least 45 units of vitamin A, at least 11 units of vitamin $B$ , and at least 37 units of vitamin $\mathrm { C }$ . The red vitamin pills cost 10 \$ each and contain 6 units of $A , 1$ unit of $B$ , and 2 units of $C$ . The blue vitamin pills cost $20 c$ each and contain 4 units of $A , 1$ unit of $B$ , and 5 units of $C$ . How many pills should the patient take each day to minimize costs?

A) 6 red and 5 blue
B) 5 red and 6 blue
C) 11 red and 0 blue
D) 7 red and 4 blue