Afraid to over-advertise?

Because there are more online customers than our staff and those customers are on various social media platforms, how do we timely handle all the customer questions on each social media platform? We worry about advertising too much, getting too many customer inquiries, and then failing to respond to all of our customer’s questions or concerns. While we can stop advertising, we would prefer to be able to either automate one of our processes or find a robust platform that aggregates these interactions and allows us to interact with all of our customers. What would you recommend we do and how do we do it?