1. Consider the simplex tableaux for the Wyndor Glass Co. problem given. For each tableau, give the economic interpretation of the following items:
(a) Each of the coefficients of the slack variables (x3, x4, x5) in row 0
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(b) Each of the coefficients of the decision variables (x1, x2) in row 0
(c) The resulting choice for the entering basic variable (or the decision to stop after the final tableau)
2.* Consider the following problem. Maximize Z _ 6×1 _ 8×2, subject to
5×1 _ 2×2 _ 20
x1 _ 2×2 _ 10
x1 _ 0, x2 _ 0.
(a) Construct the dual problem for this primal problem.
(b) Solve both the primal problem and the dual problem graphically. Identify the CPF solutions and corner-point infeasible solutions for both problems. Calculate the objective function values for all these solutions.
(c) Use the information obtained in part (b) to construct a table listing the complementary basic solutions for these problems.
(d) Work through the simplex method step by step to solve the primal problem. After each iteration (including iteration 0), identify the BF solution for this problem and the complementary basic solution for the dual problem. Also identify the corresponding corner-point solutions.