Final answer:
The individual who determines the order of bills and speakers in a committee is the Committee Chair, who has considerable control over the committee's agenda and operations.
Step-by-step explanation:
The individual in charge of a committee, who determines the order in which bills are heard and who is permitted to speak, is known as the Committee Chair. Committee chairs hold significant power over their committees' operations; they manage the committee's budget, decide when the committee will meet, and have the authority to determine whether a bill will be considered at all. In the context of the U.S. legislative system, particularly in the House, rules limit the tenure of committee chairs to prevent indefinite reigns, ensuring that they can serve no more than six consecutive years as chair of a given committee, and they cannot simultaneously chair a subcommittee.