Can a master plan convince potential funders to help pay for projects?
Absolutely! A good master plan will have a clear and convincing budget (capital and/or operational) that is grounded in reality and can be defended as both reasonable and feasible. Of course, the pretty pictures add the sizzle that will inspire interest, but the whole plan has to hang together coherently to get people to sign the check. A clear implementation and fundraising plan will also help inspire support.
