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 $\mathrm{w}=2 \mathrm{x}_{1}+3 \mathrm{x}_{2}+\mathrm{x}_{3}$
Subject to: $x_{1}+3 x_{2} +2 x_{3}\geq 34$
$2 x_{1}+4 x_{2} +3 x_{3}\geq 59$
$\mathrm{x}_{1} \geq 0, \mathrm{x}_{2} , \mathrm{x}_{3}\geq 0$

A) Maximize $z=59 y 1+34 y 2$
Subject to: $2 \mathrm{y}_{1}+\mathrm{y}_{2} \leq 2$
$$4 y_{1}+3 y_{2} \leq 3$$
$$3 y_{1}+2 y_{2} \leq 1$$
B) Maximize $z=34 y 1+59 y 2$
Subject to: $\mathrm{y}_{1}+2 \mathrm{y}_{2} \leq 2$
$$3 y_{1}+4 y_{2} \geq 3$$
$$2 y_{1}+3 y_{2} \geq 1$$
C) Maximize $z=59 y 1+34 y 2$
Subject to: $2 \mathrm{y}_{1}+\mathrm{y}_{2} \geq 2$
$$4 y_{1}+3 y_{2} \geq 3$$
$$3 y_{1}+2 y_{2} \geq 1$$
D) Maximize $z=34 y 1+59 y 2$
Subject to: $\mathrm{y}_{1}+2 \mathrm{y}_{2} \leq 2$
$$3 y_{1}+4 y_{2} \leq 3$$
$$2 y_{1}+3 y_{2} \leq 1$$