Final answer:
Matthew is acting as a Figurehead, a symbolic leader representing his company while giving a tour to potential partners.
Step-by-step explanation:
Matthew, the president of a diesel engine research firm, was fulfilling the role of a Figurehead when he gave an extensive tour of his laboratory and field-testing operations to potential partners from a large automobile corporation in Europe. This managerial role involves symbolic duties required by the position's status and serving as a representative or a symbol of the organization.
In this case, Matthew is representing his company and building goodwill with potential partners, showcasing the facilities and operations, and essentially acting as the face of the organization during the tour. This is part of his responsibility as a leader to manifest the company's image and values to the outside world.