A business plan is a formal statement of business goals, reasons they are attainable, and plans for reaching them. It may also contain background information about the organization or team attempting to reach those goals.
The primary difference between profit and non-profit organizations is that "for-profit" organizations look to maximize wealth versus non-profit organizations, which look to provide a greater good to society. In non-profit organizations, creative tensions may develop in the effort to balance mission with "margin" (or revenue).
A brief account of how the company began- You should mention in your business plan the history behind the formation of you company and the background of the founders and directors.
The business goals may be defined both for non-profit or for-profit organizations. For-profit business plans typically focus on financial goals, such as profit or creation of wealth. Non-profit, as well as government agency business plans tend to focus on the "organizational mission" which is the basis for their governmental status or their non-profit, tax-exempt status, respectively—although non-profits may also focus on optimizing revenue.