Question

$1$

$($

simplex algorithm

$)$

$$Let us conider the following

$($

$$

$$

$)$

$$:

$($

$$

$$

$)$

$\{$

m

a

x

i

m

i

z

e

$-$

$3$

$$

$1$

$-$

$2$

$$

$2$

$-$

$$

$3$

$$

$.$

$$

$-$

$$

$1$

$-$

$$

$2$

$+$

$$

$3$

$<=$

$2$

$-$

$2$

$$

$1$

$-$

$$

$2$

$-$

$$

$3$

$,$

$<=$

$6$

$$

$1$

$-$

$$

$2$

$-$

$$

$3$

$,$

$<=$

$4$

$$

$3$

$,$

$>=$

$0$

$.$

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