Draw Design Layout References Mailings Review View Help Table Design H 9. Consider the following LP and its optimal tableau: Maximize Z = 3x1 + x2-x3 subject to 2x1 + x2 + x3 8 4x1 + x2-x3 10 X1, X2, X30 Layout Comments Edi Z X1 x2 X3 $1 S rhs 1 0 0 1 1/2 1/2 9 0 0 1 3 2 -1 6 0 1 0 -1 - 1/2 1/2 1 a. For what values of c, does the current basis remain optimal? b. For what values of c, does the current basis remain optimal? c. For what values of b does the current basis remain optimal? c3 == d. Currently for the third decision variable: c = -1, a13 = 1, a23 = -1. Suppose that: C3 = 2, a = 2, a12=-2. Would this change the optimal solution to the problem? e. If we add a new constraint: 2x1 + 2x2-2x3 20