# Question: Consider the following problem Maximize Z 6x1 x2

Consider the following problem.

Maximize Z = 6x1 + x2 + 2x3,

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

Let x4, x5, and x6 denote the slack variables for the respective constraints. After you apply the simplex method, a portion of the final simplex tableau is as follows:

Use the fundamental insight presented in Sec. 5.3 to identify the missing numbers in the final simplex tableau. Show your calculations.

Maximize Z = 6x1 + x2 + 2x3,

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

Let x4, x5, and x6 denote the slack variables for the respective constraints. After you apply the simplex method, a portion of the final simplex tableau is as follows:

Use the fundamental insight presented in Sec. 5.3 to identify the missing numbers in the final simplex tableau. Show your calculations.

## Answer to relevant Questions

Consider the following problem. Maximize Z = 2x1 +3x2, Subject to and x1 ≥ 0, x2 ≥ 0. Reconsider the model in Prob. 4.6-5. Use artificial variables and the Big M method to construct the complete first simplex tableau for the simplex method, and then identify the columns that will contain S* for applying the ...Work through the revised simplex method step by step to solve the model given in Prob. 3.1-6. Use the weak duality property to prove that if both the primal and the dual problem have feasible solutions, then both must have an optimal solution. 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?Post your question