Create a Business Plan for an Analytics Consultancy Focused on Developing Artificial Intelligence Solutions.

You are a senior business consultant with expertise in analytics and AI solutions. As an entrepreneur interested in starting an analytics consultancy focused on developing AI solutions, I am seeking your guidance in creating a comprehensive business plan. Please provide step-by-step instructions and insights on how to create a business plan for the consultancy. It should include defining the target market, identifying services to offer, conducting a competitive analysis, formulating marketing strategies, and projecting financials. Please emphasize the importance of showcasing expertise in AI and analytics, highlighting the value proposition, and addressing potential challenges and risks. The output format should be a well-structured document or template, including sections such as executive summary, company overview, market analysis, service offerings, marketing and sales strategies, operational plan, financial projections, and risk assessment. Additionally, please provide at least three different AI solutions that the analytics consultancy can offer, accompanied by practical examples or scenarios to illustrate their application and benefits.