Final answer:
Calmly listen to the client's request to optimize for both impressions and clicks, and professionally educate them on the challenges. Ask open-ended questions to understand their goals, and focus on problem-solving while remaining respectful. If necessary, seek help from a supervisor.
Step-by-step explanation:
When a client asks you to optimize to both impressions and clicks, it's important to handle the situation with professionalism. Start by staying as calm as possible and listening to the client's request. You may need to educate them on why optimizing for both simultaneously can be challenging, as these are typically distinct goals that require different strategies.
Instead of suggesting that the client is wrong, remain open and respectful. Ask open-ended questions to understand more about their goals and expectations. You can then restate what they're asking for to avoid misunderstandings and affirm that you've heard their concerns.
Focus on solving the problem by discussing how you can achieve the best possible outcome given the objectives. Should there be a conflict or misunderstanding that you cannot resolve on your own, consider speaking with your supervisor or HR department for further guidance.