What term describes a company that operates in more than one country with its headquarters in one country?

The term that describes a company operating in more than one country, with its headquarters located in a single country, is "multi-national." Multi-national corporations (MNCs) establish facilities and operations in multiple countries but manage and direct their operations from a central location, which is known as the headquarters.

MNCs have the ability to leverage resources, labor, and markets across different countries, which allows them to optimize production processes and access new customer bases. This operational structure also presents them with opportunities to take advantage of varying economic conditions and regulatory environments in different countries.

The other terms such as "franchise," "corporation," and "partnership," refer to different business structures and types of operations that do not capture the essence of a company operating across borders with a central headquarters. A franchise refers to a specific relationship where a franchisee pays for the right to operate a business based on the franchisor's brand and systems. A corporation is a legal entity that can operate in one or multiple countries but does not inherently imply a cross-border presence. A partnership refers to a business arrangement where two or more individuals share ownership and responsibilities, which does not inherently equate to multi-national operations.