Question 2: Given an optimal simplex tableau of a maximization problem and all constraints and X4, X5, X6 decision variables. Right Basic x1 x2 X3 x4 x5 x6 Side Z 1 0 0 0 3 0 5 x1 0 1 1 0 2 0 1 2 X3 0 0 0 1 1 0 4 2 X5 0 0 -2 0 -1 1 3 1 Part a) Give the optimal solution for decision variables. Part b) Give the optimal value for dual decision variables. Part c) If you could buy an additional unit of the first resource for a cost of 7/2, would you do this? Why? Part d) Find the objective value 0.(Hint: you can use matrix operations of Slide 8 Lecture 6) Part e) Find the range for objective function coefficient of x2 that will keep the current solution optimal.