Final answer:
Andrew Carnegie utilized the Bessemer Process and vertical integration as key technological innovations at Carnegie Steel, allowing him to dominate the steel industry and eventually outproduce Britain. These strategies helped him cut costs, control the production process, and enhance efficiency.
Step-by-step explanation:
Andrew Carnegie utilized several technological innovations at Carnegie Steel to dominate the steel market. One notable innovation was the adoption of the Bessemer Process, which involved blowing cold air through molten iron to remove impurities, thus making steel stronger and cheaper to produce. Additionally, his implementation of vertical integration was revolutionary; by owning all parts of the production process - from mines to railroads - he significantly cut costs and improved efficiency.
Carnegie's savvy for incorporating new technologies, along with his strategic business practices, enabled his company to outproduce all of Britain in steel-making and achieve unparalleled success during that era. His influence went beyond industry as he became a major philanthropist later in life, donating much of his fortune to various causes. Therefore, the legacy of Andrew Carnegie is twofold: industrial magnate and benefactor.