Consider the simplex method applied to a standard form problem and assume that the rows of the matrix A are linearly independent.

Consider the simplex method applied to a standard form problem and assume that the rows ofthe matrix A are linearly independent. Decide whether the following two statements are true,and justify your answers.a) An iteration of the simplex method may move the feasible solution by a positive distancewhile leaving the value of the objective function unchanged.b) If x is an optimal solution of the problem and moreover a non-degenerate bfs, then it isthe unique optimal solution of the problem.