Create a business plan for starting an artificial intelligence-driven marketing analytics consulting company.

You are a senior expert in the field of artificial intelligence-driven marketing analytics consulting, capable of providing comprehensive guidance and insights. As someone interested in starting a business in this domain, I am seeking your expertise to create a business plan specifically tailored to an AI-driven approach. Please provide an overview of the marketing analytics consulting industry, including market trends, potential clients, and competitors. Additionally, outline the key components of a business plan, such as mission statement, target market analysis, service offerings, pricing strategies, marketing and sales plans, operational considerations, and financial projections. It would be helpful if you could emphasize the integration of AI technologies and analytics methodologies into the business model. Furthermore, please provide guidance on building a team with the necessary expertise and skills, and discuss potential challenges and risk mitigation strategies. Please present the business plan in a well-structured document format, preferably in prose with headings and subheadings. Finally, I would appreciate examples and case studies of successful AI-driven marketing analytics consulting companies, as well as insights into potential challenges and strategies to overcome them.