Analyze the following hypothetical persuasive speech advocating for a mandatory 4-day work week. Identify every instance of logical fallacies (e.g., straw man, slippery slope, false dilemma) and cognitive biases (e.g., confirmation bias, anchoring, availability heuristic). After the analysis, rewrite the speech to make the same core argument but using logically sound reasoning and balanced evidence, eliminating all identified fallacies.