Consider the following set of constraints: -2x, +3x2-3 (1) 4xi + 5x2 2 10 (2) 6x, + 7x2E3 4) 4x, + 8x2 2 5 (5) For each of the following problems, develop the z-row after substituting out the artificial variables: (a) Maximize z 5x1 + 6x2 subject to (1), (3), and (4) (b) Maximize z -2xi - 7xz subject to (1), (2), (4),and (5). (c) Minimize z -3xi + 6x2subject to (3), (4). and (5). (Only develop the new objective function after adding artificial variables Do not solve it using Simplex algorithm)