Question 1: Consider the following optimal simplex tableau of a maximization problem of total profit ($) with < constraints and main decision variables x1, x2. Basic Z x1 x2 X3 x4 x5 Right Side Z 1 0 0 2 0 x1 0 1 0 2/7 0 -3/7 12/7 X4 0 -2/17 1 3/7 37/7 x2 0 0 Y 1/7 0 2/7 20/7 Part a) List the optimal solution for decision variables. Identify special cases if any. Part b) Find the values for a, , y and 0. Part c) Find the original model using the information listed in the table. Part d) Find shadow prices and explain their meaning and application. Part e) If you could buy two additional units of the first resource for total cost of $3, would you do this? Why? Part f) List the dual model using the model found in Section c.