Each Day Larry Needs at Least 10 Units of Vitamin $A$

Multiple Choice

Each day Larry needs at least 10 units of vitamin A, 12 units of vitamin B, and 20 units of vitamin C. Pill \#1 contains 4 units of $A$ and 3 of B. Pill \#2 contains 1 unit of A, 2 of B, and 4 of C. Pill \#3 contains 10 units of A, 1 of B, and 5 of $C$ .
-Pill #1 costs 2 cents, pill #2 costs 5 cents, and pill #3 costs 8 cents. Larry wants to minimize cost. What is the constraint inequality for vitamin $\mathrm{B}$ ?

A) $3 \mathrm{P}_{1}+2 \mathrm{P}_{2}+\mathrm{P}_{3} \geq 12$
B) $3 \mathrm{P}_{1}+2 \mathrm{P}_{2}+\mathrm{P}_{3} \leq 5$
C) $2 \mathrm{P}_{2}+5 \mathrm{P}_{3}+8 \mathrm{P}_{3} \geq 12$
D) $4 P_{1}+P_{2}+10 P_{3} \geq 10$