I have been given this problem and cant find a solution and was wondering if anyone could help! I have looked in to matrices and artificial variables but I am unsure how to approach this problem. Any help would be AWESOMMMME. Many thanks in advance. Mal

Thefor a maximisation Linear Programming problem with two constraints of type (<=) and two original variables,final optimal tableaux_{1}andx_{2}, is given below. The variablesx_{3}andx_{4}are slack variables.

Solnx_{1}x_{2}x_{3}x_{4}x_{1}20 1 0 2 -1 x_{2}40 0 1 -1 1 z 0 0 1 1

Find the associated optimal value of the objective function, and derive the original Linear Programming problem.