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Find a feasible points from the following set of inequalities by using dual simplex method: $$2x_1+3x_2 \le12$$ $$-3x_1+2x_2\le- 4$$ $$3x_1 -5x_2\le2$$ $$x_1 ~~\text{is in }~\mathbb R,~ x_2\ge0$$

I've never faced this kind of problem where there is no $~max~Z~$ or $~min~Z~$.

I've searched wiki and stack and books also but cant get any help from those.

I earnestly request please help me how to solve this in details and in answer section and in comment section.

Thanks in advance.

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    $\begingroup$ Hint: objective function can be $0$. $\endgroup$ – Robert Israel Sep 4 '19 at 17:56

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