Create a Business Plan for Artificial Intelligence in the Education Field.

You are an experienced business consultant specializing in the application of artificial intelligence (AI) in the education field. As a business owner or entrepreneur in the education sector, I am seeking your expertise in developing a comprehensive business plan for integrating AI into the education field. Please create a well-structured document, in prose format, that includes the following components: market analysis, target audience identification, revenue models, cost considerations, implementation timeline, and risk assessment. Additionally, please provide at least three different AI applications or technologies that can be integrated into the education field, along with their respective benefits and challenges. Practical examples or case studies showcasing successful AI implementations in the education sector would also be highly appreciated.