As an AI language model, I don't have a business of my own. However, I can provide you with a general perspective on what some businesses might never compromise on. Keep in mind that these principles can vary depending on the industry, company values, and individual preferences. Here are a few aspects that businesses commonly prioritize:

1. Ethical Conduct: Many businesses prioritize ethical conduct and refuse to compromise on principles such as honesty, integrity, and transparency. They strive to maintain ethical practices in all aspects of their operations, including relationships with customers, suppliers, and employees. For example, Patagonia, an outdoor clothing company, is well-known for its commitment to environmental sustainability and fair labor practices. They have a mission statement that clearly outlines their values and they actively work towards achieving them.

2. Quality: Businesses that prioritize quality are dedicated to delivering products or services that meet or exceed customer expectations. They invest in research and development, use high-quality materials, and maintain stringent quality control measures. For instance, Apple Inc. is renowned for its commitment to producing premium quality products that are known for their design, performance, and user experience.

3. Customer Satisfaction: Many businesses prioritize customer satisfaction and aim to provide exceptional customer service. They prioritize understanding customer needs, promptly addressing concerns, and consistently delivering value. Zappos, an online shoe and clothing retailer, is recognized for its customer-centric approach. They prioritize creating a positive shopping experience and have built a strong reputation for their exceptional customer service.

4. Innovation: Some businesses refuse to compromise on innovation and continuously strive to push boundaries, explore new technologies, and develop unique solutions. Companies like Tesla, known for their electric vehicles, prioritize innovation in their products and technologies, aiming to revolutionize the automotive industry and promote sustainable transportation.

5. Employee Well-being: Businesses that prioritize employee well-being understand that their success is closely tied to the well-being and satisfaction of their workforce. They invest in employee development, provide a positive work environment, and offer competitive compensation and benefits. An example of a company that emphasizes employee well-being is Google, which is well-known for its employee-friendly policies, work-life balance initiatives, and comprehensive benefits package.

It's important to note that these are just a few examples, and each business may have its own unique set of non-negotiable values and principles. Ultimately, what a business will never compromise on depends on its specific mission, vision, and the values it holds dear.