# Question: Consider the following problem Maximize Z 20x1 6x2

Consider the following problem.

Maximize Z = 20x1 + 6x2 + 8x3,

Subject to

And x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

Let x4, x5, x6, and x7 denote the slack variables for the first through fourth constraints, respectively. Suppose that after some number of iterations of the simplex method, a portion of the current simplex tableau is as follows:

(a) Use the fundamental insight presented in Sec. 5.3 to identify the missing numbers in the current simplex tableau. Show your calculations.

(b) Indicate which of these missing numbers would be generated by the matrix form of the simplex method to perform the next iteration.

Maximize Z = 20x1 + 6x2 + 8x3,

Subject to

And x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

Let x4, x5, x6, and x7 denote the slack variables for the first through fourth constraints, respectively. Suppose that after some number of iterations of the simplex method, a portion of the current simplex tableau is as follows:

(a) Use the fundamental insight presented in Sec. 5.3 to identify the missing numbers in the current simplex tableau. Show your calculations.

(b) Indicate which of these missing numbers would be generated by the matrix form of the simplex method to perform the next iteration.

## Answer to relevant Questions

Consider the following problem. Maximize Z = c1x1 + c2x2 + c3x3, Subject to and x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. Note that values have not been assigned to the coefficients in the objective function (c1, c2, c3), and that the ...Consider the following problem. Maximize Z = 3x1 + 7x2 + 2x3, Subject to And x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. Consider the following problem. Minimize Z = 3x1 + 2x2, Subject to and x1 ≥ 0, x2 ≥ 0. Consider the primal and dual problems in our standard form presented in matrix notation at the beginning of Sec. 6.1. Let y* denote the optimal solution for this dual problem. Suppose that b is then replaced by . Let ...Consider the following problem. Maximize Z = 2x1 + 7x2 + 4x3 Subject to and x1 ≥ 0, x2 ≥ 0, x3 ≥ 0. (a) Construct the dual problem for this primal problem. (b) Use the dual problem to demonstrate that the optimal value ...Post your question