Final answer:
The factor that should not be a relevant consideration when selecting members for a management negotiating team is having a sense of humor, as it is not a vital skill for negotiation. Instead, considerations should focus on professional qualifications and relevant skills for the task at hand. Option d.
Step-by-step explanation:
When selecting members for a management negotiating team, the factor that should not be a relevant consideration is (D) Having a sense of humor. This choice does not directly contribute to the skills and expertise required for successful negotiation. While a sense of humor can help in building rapport, it is not a primary criterion for selection in a professional setting.
Relevant considerations for selecting team members include factors such as (A) Whether the individual occupies a line or staff managerial position within the firm, as this can affect the individual's understanding of the company and bargaining power; (B) Perceived need for an individual's skills and abilities, since specific talents are necessary for effective negotiation; and (C) Political considerations, as they can influence the negotiation process and outcomes. Additionally, (E) Consciousness of social cues is important as it contributes to emotional intelligence, which can be critical in negotiation.
It's essential for team members to possess the right combination of skills, knowledge, and abilities to represent the firm effectively during negotiations. Personal traits like a sense of humor can be beneficial in interpersonal interactions but should not take precedence over professional qualifications when choosing team members for such an important task.