Maximize Z = 3x1 + 2x2 subject to 2x1 + x2 <= 100 (c1) X1X2 <= 80 X1 <= 40 (C3) 22 (c2) X1>= 0, X2>= 0 (7) Given the optimal basis BV = {x1, x2, S3}, show what is NBV, CBV, CNBV, B, N, and b in the alternative expression in slide 8 of lecture slides No. 9. (8) Let A be the constraint matrix in the standard form in question (6). Let A; be jth column in matrix A corresponding to the jth decision variable xj in the standard form. Use the optimality conditions in slide 14 of lecture slides No. 9 to show that the basis BV = {x1, x2, S3} is optimal for the LP problem. (9) Find the range of the second objective function coefficient c2 (equal to 2 in the original LP problem) in the standard form in question (6) such that the basis BV = {x1, x2, S3} remains optimal. (10) Find the range of the right-hand side b₂ of the second constraint (equal to 80 in the original LP problem) in the standard form in question (6) such that the basis BV = {x1, x2, S3} remains optimal.