The Schoch Museum is embarking on a 5 year fundraising campaign. As a nonprofit institution, the museum finds it challenging to acquire new donors as many donors do not contribute every year. Suppose that the museum has identified a pool of 8,000 potential donors. The actual number of donors in the first year of the campaign is estimated to be 65% of this pool. For each subsequent year, the museum expects that 35% of current donors will discontinue their contributions. In addition, the museum expects to attract some percentage of new donors. This is assumed to be 10% of the pool. The average contribution in the first year is assumed to be $ 50, and will increase at a rate of 2.5%. Develop a model to predict the total funds that will be raised over the 5 year period, and investigate the impacts of the percentage assumptions used in the model.