In this question we will use the method of slack variables to find the vertices of the feasible region defined by the inequalities 2x1 + 4 2x1 + 3x2 6 I1, I 20 (a) Write down the linear system obtained from this system of in- equalities by adding non-negative slack variables. (b) Use Gauss-Jordan elimination to find the basic solutions corre- sponding to the basic variables: (i) T3, T4; (ii) #2, 4; (iii) 72, 73. (c) The remaining basic solutions are (2,1,0,0), (2, 0, 0, 2) and (3, 0, -2,0). Using your answers as well as these, list the vertices of the region. In this question we will use the method of slack variables to find the vertices of the feasible region defined by the inequalities 2x1 + 4 2x1 + 3x2 6 I1, I 20 (a) Write down the linear system obtained from this system of in- equalities by adding non-negative slack variables. (b) Use Gauss-Jordan elimination to find the basic solutions corre- sponding to the basic variables: (i) T3, T4; (ii) #2, 4; (iii) 72, 73. (c) The remaining basic solutions are (2,1,0,0), (2, 0, 0, 2) and (3, 0, -2,0). Using your answers as well as these, list the vertices of the region.