14. For the nonprofit ballet company in Problem 8 of Chapter 8, assume following percentages of donors and gift levels:

Gift Level Amount Number of Gifts Benefactor $10,000 1–3 Philanthropist $5,000 3–7 Producer’s Circle $1,000 16–25 Gift Level Amount Number of Gifts Director’s Circle $500 31–40 Principal $100 5–7% of solicitations Soloist $50 5–7% of solicitations The company has set a financial goal of $150,000. How many prospective donors must they contact for donations at the $100 level or below to have a 95% chance of meeting this goal? Assume that the number of gifts at each level follow a discrete uniform distribution or a uniform distribution for the percentage of solicitations at the $100 and $50 levels.