Company B implements a cognitive business model using IBM's Watson APIs. This allows it to analyze unstructured data like human sentiment and the impacts of events to better predict demand fluctuations. With this deeper understanding, Company B's supply chain management is more effective than Company A's, which only uses structured data. As a result, Company B gains market share over Company A by reducing inventory risks and more closely matching sales to demand. The document argues that cognitive systems can provide companies with competitive advantages through more nuanced analysis of human behaviors and external influences on business.