Because each iteration depends entirely on the one before it, one small mistake multiplies through every step and grows larger until the final solution is far off.

A small arithmetic mistake in one Simplex iteration can affect succeeding iterations because each tableau is derived from the previous one. Any error made during pivoting, row operations, or calculations is carried forward to later tableaus. This can lead to incorrect pivot choices, inaccurate variable values, wrong objective function values, and even infeasible solutions. Therefore, accuracy at every iteration is essential to obtain the correct optimal solution.