Consider the following LPP:Minimize w $=-5$y$\_\{1\}-10$y$\_\{2\}$ subject to $-$ y$\_\{1\}-3$y$\_\{2\}>=-1-2$y$\_\{1\}-$ y$\_\{2\}>=-1$ y$1,$y$2>=0$a$)$ Write the dual of the given problem.b$)$ Find the optimal solution $($if exists$)$ of the LPP obtained in $($a$)($dual problem$)$ by using Dual simplex Method. $($Table headers should be in the textbook format$).$c$)$ Find the optimal solution of the given primal problem using the optimal table obtained in $($b$).$