Final answer:
The student's question relates to solving a linear programming problem using the revised simplex method. The correct approach involves setting up an initial tableau, applying the simplex algorithm iteratively to find the solution, and performing algebraic steps such as row reduction and pivoting. However, actual initial tableau data is required to provide a step-by-step solution.
Step-by-step explanation:
The student's question is about solving a linear programming problem using the revised simplex method in matrix form to maximize a given objective function subject to certain constraints. To approach this question, we need to first set up the initial simplex tableau by introducing slack variables for the inequalities, then apply the simplex algorithm to pivot the tableau until no more positive coefficients are present in the objective function row indicating that we have found the optimal solution.
To solve the system of linear equations, we perform algebraic steps which include row reduction and pivoting. In each iteration, we check for feasibility and optimality, and if necessary, perform another iteration. The pivotal column is chosen based on the most negative coefficient in the objective function row, and the pivotal row is selected based on the minimum ratio of the right-hand side of the constraints to the elements of the pivotal column (non-negative entries).
Unfortunately, the information provided is not directly relevant to the revised simplex method, so to answer the student's question, we would need the actual initial tableau for the problem which includes the objective function and the constraints expressed in matrix form. Without this, we cannot work through the revised simplex method step by step.