(A) and (B) please

1. (10 pts) Consider the problem y2xmaxsubjecttox1+x22x11x21x1,x20 (a) Plot the region in the plane. Without any computations identify extremal points and their degeneracy or non-degeneracy (b) Rewrite the domain in the standard form by introducing slack variables. (c) For the problem in the standard form take extremal point with coordinates x1=x2=1. Find the values of slack variables for this point. Are they unique? (d) Write down two distinct basic feasible solutions corresponding to this extremal point. Identify basis, basic and non-basic variables for each of them. For each solution identify the reduced cost coefficients. (e) Check that for both basic feasible solutions the basic variables contain a zero coordinate. 1. (10 pts) Consider the problem y2xmaxsubjecttox1+x22x11x21x1,x20 (a) Plot the region in the plane. Without any computations identify extremal points and their degeneracy or non-degeneracy (b) Rewrite the domain in the standard form by introducing slack variables. (c) For the problem in the standard form take extremal point with coordinates x1=x2=1. Find the values of slack variables for this point. Are they unique? (d) Write down two distinct basic feasible solutions corresponding to this extremal point. Identify basis, basic and non-basic variables for each of them. For each solution identify the reduced cost coefficients. (e) Check that for both basic feasible solutions the basic variables contain a zero coordinate