(a) Apply dual simplex method to solve Minimize $Z=2 x_{1}+x_{2}$ Subject to $3 x_{1}+x_{2} \geq 3$ $$ \begin{aligned} & 4 x_{1}+3 x_{2} \geq 6 \\ & x_{1}+2 x_{2} \geq 3, x_{1} \geq 0, x_{2} \geq 0 \end{aligned} $$

Explanation

The dual simplex method is used to solve linear programming problems with inequality constraints. It is particularly useful when the initial basic feasible solution is not easily obtainable.


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