Use Duality to Solve the Problem $w=y_{1}+4 y_{2}+3 y_{3}$ Subject To $3 y_{1}+2 y_{2}+y_{3} \geq 70$

Multiple Choice

Use duality to solve the problem.
-Minimize $w=y_{1}+4 y_{2}+3 y_{3}$
Subject to: $3 y_{1}+2 y_{2}+y_{3} \geq 70$
$2 \mathrm{y}_{1}+2 \mathrm{y}_{3} \geq 50$
$\mathrm{y}_{1} \geq 0, \mathrm{y}_{2} \geq 0, \mathrm{y}_{3} \geq 0$

A) 25
B) 20
C) 90
D) 165