Use Duality to Solve the Problem $\mathrm{w}=5 \mathrm{y} 1+2 \mathrm{y} 2$

Multiple Choice

Use duality to solve the problem.
-Minimize $\mathrm{w}=5 \mathrm{y} 1+2 \mathrm{y} 2$
Subject to:
$\mathrm{y}_{1}+\mathrm{y}_{2} \geq 19.5$
$2 \mathrm{y}_{1}+\mathrm{y}_{2} \geq 24$
$\mathrm{y}_{1} \geq 0, \mathrm{y}_{2} \geq 0$

A) 30.5
B) 48
C) 54
D) 31.5