# Question: For any linear programming problem in our standard form and

For any linear programming problem in our standard form and its dual problem, label each of the following statements as true or false and then justify your answer.

(a) The sum of the number of functional constraints and the number of variables (before augmenting) is the same for both the primal and the dual problems.

(a) The sum of the number of functional constraints and the number of variables (before augmenting) is the same for both the primal and the dual problems.

## Answer to relevant Questions

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) ...Consider the linear programming model in Prob. 4.5-4. (a) Construct the primal-dual table and the dual problem for this model. (b) What does the fact that Z is unbounded for this model imply about its dual problem? Consider the primal and dual problems in our standard form presented in matrix notation at the beginning of Sec. 6.1. Use only this definition of the dual problem for a primal problem in this form to prove each of the ...Consider the dual problem for the Wyndor Glass Co. example given in Table 6.1. Demonstrate that its dual problem is the primal problem given in Table 6.1 by going through the conversion steps given in Table 6.13. Consider Variation 5 of the Wyndor Glass Co. model (see Fig. 7.5 and Table 7.8), where the changes in the parameter values given in Table 7.5 are c-bar2 = 3, a-bar22 = 3, and a-bar32 = 4. Verify both algebraically and ...Post your question