Final answer:
The behavior or trait most likely influenced by flexible parental authority is when a manager believes their employees can make their own decisions about setting and reaching performance goals.
Step-by-step explanation:
The behavior or trait that is most likely influenced by flexible parental authority is D) A manager believes her employees can make up their own minds as to how they want to set and reach performance goals. This behavior reflects a management style known as Theory Y, which assumes that employees seek inner satisfaction and fulfillment from their work. In Theory Y workplaces, employees are encouraged to participate in decision-making and have input on setting goals. This flexibility and trust in employees' abilities aligns with the idea of flexible parental authority, where parents allow their children to make independent decisions and have autonomy.