State the Dual Problem $\mathrm{y}_{1}, \mathrm{y}_{2}$ , And $\mathrm{y}_{3}$ As the Variables $\mathrm{y}_{1} \geq 0, \mathrm{y}_{2} \geq 0$

Multiple Choice

State the dual problem. Use $\mathrm{y}_{1}, \mathrm{y}_{2}$ , and $\mathrm{y}_{3}$ as the variables. Given: $\mathrm{y}_{1} \geq 0, \mathrm{y}_{2} \geq 0$ , and $\mathrm{y}_{3} \geq 0$ .
-Minimize $\mathrm{w}=6 \mathrm{x}_{1}+3 \mathrm{x}_{2}$
Subject to: $3 x_{1}+2 x_{2} \geq 24$
$2 x_{1}+5 x_{2} \geq 38$
$\mathrm{x}_{1} \geq 0, \mathrm{x}_{2} \geq 0$

A) Maximize $z=24 y_{1}+38 y_{2}$
Subject to: $3 \mathrm{y}_{1}+2 \mathrm{y}_{2} \geq 6$
$2 \mathrm{y}_{1}+5 \mathrm{y}_{2} \geq 3$
B) Maximize $z=38 y 1+24 y 2$
Subject to: $2 y_{1}+3 y_{2} \geq 6$
$5 y_{1}+2 y_{2} \geq 3$
C) Maximize $z=24 y 1+38 y 2$
Subject to: $3 \mathrm{y}_{1}+2 \mathrm{y}_{2} \leq 6$
$2 \mathrm{y}_{1}+5 \mathrm{y}_{2} \leq 3$
D) Maximize $z=38 y_{1}+24 y 2$
Subject to: $2 \mathrm{y}_{1}+3 \mathrm{y}_{2} \leq 6$
$5 \mathrm{y}_{1}+2 \mathrm{y}_{2} \leq 3$