D.I 7.1-3. Consider the following problem Minimize W-5yi + 4y2., subject to yi 20 y220 Because this primal problem has more functional constraints than variables, suppose that the simplex method has been applied di- rectly to its dual problem. If we let x5 and x6denote the slack vari ables for this dual problem, the resulting final simplex tableau is Coefficient of: Basic Right (0) 3 0 20 1 9 (1) 01 -1 0 111 (2) 02 0 31 -1 23 2 For each of the following independent changes in the original pri mal model, you now are to conduct sensitivity analysis by directly investigating the effect on the dual problem and then inferring the complementary effect on the primal problem. For each change, ap- ply the procedure for sensitivity analysis summarized at the end of Sec. 7.1 to the dual problem (do not reoptimize), and then give vour conclusions as to whether the current basic solution for the primal problem still is feasible and whether it still is optimal. Then check your conclusions by a direct graphical analysis of the pri- mal problem (a) Change the objective function to W- 3y1 + 5y2. (b) Change the right-hand sides of the functional constraints to 3, 5, 2, and 3, respectively (c) Change the first constraint to 2y1 + 4y2 2 7. (d) Change the second constraint to 5yi + 2y2 2 10