$($Please do a step by step solution$)$ Question $1($simplex algorithm$)$ Let us conider the following $($LP$)$: $($LP$)$maximize $3$y$12$y$2$ y$3$ s$.$t $$y$1$ y$2+$ yy$1$ y$2$ y y$1$ y$2$ y y$3>=0.$ Find the optimal value of this problem $($i$)$ by bringing $($LP$)$ to standard form and applying the simplex algorithm using Tableu method $($ii$)$Computer task: Solve by applying Simplex algorithm of any package of R or Pyhton or Matlab