Given the Following Linear Programming Problem with Two Non-Negative Variables $\left(X_{1}\right.$

Multiple Choice

Given the following linear programming problem with two non-negative variables $\left(X_{1}\right.$ and $\left.X_{2}\right)$ , 3 constraints (all $\leq$ type) , and a maximize objective function $\left(Y_{i}\right.$ , where $i=1,2,3$ , respective to the dual variables associated with constraints 1,2 and 3 ) ,
Max: $250 X_{1}+500 X_{2}$
Constraints: $X_{1} \leq 320 \quad 2 X_{1}+5 X_{2} \leq 1100 \quad 1 X_{1}+1.2 X_{2} \leq 480$
Variables are non-negative the objective function of the dual problem is

A) $\operatorname{Max}: 0 Y_{1}+2 Y_{2}+1 Y_{3}$
B) $\operatorname{Min}: 1 Y_{1}+2 Y_{2}+1 Y_{3}$
C) $\operatorname{Max}: 320 Y_{1}+1100 Y_{2}+480 Y_{3}$
D) $\operatorname{Min}: 320 Y_{1}+1100 Y_{2}+480 Y_{3}$