Final answer:
A licensed broker who owns their business alone is called a sole proprietor, who has complete control over the business including financial responsibilities and profit entitlement.
Step-by-step explanation:
A licensed broker who is the sole owner of the real estate business would be known as a sole proprietor. In this type of business structure, the owner maintains complete control of the business and is also responsible for all debts and liabilities. The sole proprietor is entitled to all profits generated by the business and personally assumes unlimited liability, meaning they are fully financially accountable for the company's obligations. This business model requires the proprietor to effectively manage all aspects of the business, from hiring and retaining staff to securing capital for operations.