Use Duality to Solve the Problem $w=y_{1}+3 y_{2}+2 y_{3}$ Subject To $\mathrm{y}_{1}+\mathrm{y}_{2}+\mathrm{y}_{3} \geq 50$

Multiple Choice

Use duality to solve the problem.
-Minimize $w=y_{1}+3 y_{2}+2 y_{3}$
Subject to: $\mathrm{y}_{1}+\mathrm{y}_{2}+\mathrm{y}_{3} \geq 50$
$2 \mathrm{y}_{1}+\mathrm{y}_{2} \geq 25$
$\mathrm{y}_{1} \geq 0, \mathrm{y}_{2} \geq 0, \mathrm{y}_{3} \geq 0$

A) 75
B) 12.5
C) 87.5
D) 50