The tableau of the simplex technique is important because it offers a methodical, structured approach to organizing and resolving linear programming issues. It makes it simple to identify workable solutions and pivot operations by enabling the objective function and limitations to be clearly represented. The tableau format facilitates the effective updating of solutions by keeping track of the values of variables and constraints over iterations. The simplex approach streamlines computations by converting the problem into a tabular format, which facilitates the visualization of optimality progress and guarantees an orderly and visible solution process.