# Question

Consider the simplex tableaux for the Wyndor Glass Co. problem given in Table 4.8. 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

(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)

(a) Each of the coefficients of the slack variables (x3, x4, x5) in row 0

(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)

## Answer to relevant Questions

Consider the following problem. Maximize Z = 6x1 + 8x2, Subject to and x1 ≥ 0, x2 ≥ 0. (a) Construct the dual problem for this primal problem. Consider the following problem. Maximize Z = 2x1 – 4x2, Subject to x1 – x2 ≤ 1 and x1 ≥ 0, x2 ≥ 0. Construct the dual problem for the linear programming problem given in Prob. 4.6-3. Consider the following problem. Minimize Z = –x1 – 3x2, Subject to and x1 ≥ 0, x2 ≥ 0. (a) Demonstrate graphically that this problem has an unbounded objective function. (b) Construct the dual problem. For the problem given in Table 7.5, find the allowable range for c2. Show your work algebraically, using the tableau given in Table 7.5. Then justify your answer from a geometric viewpoint, referring to Fig. 7.2.Post your question

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