The admissions director of an engineering college has $$500,000$ in scholarships each year from an endowment to offer to high$-$achieving applicants. The value of each scholarship offered is $$25,000($thus$,20$ scholarships are offered$).$ The benefactor who provided the money would like to see all of it used each year for new students. However, not all students accept the money; some take offers from competing schools. If they wait until the end of the admission deadline to decline the scholarship, it cannot be offered to someone else because any other good students would already have committed to other programs. Consequently, the admissions director offers more money than available in anticipation that a percentage of offers will be declined. If more than $20$ students accept the offers, the college is committed

to honoring them, and the additional amount has to come out of the dean's budget. Based on prior history, the percentage of applicants that accept the offer is about $70\%.$ Develop a spreadsheet model for this situation to evaluate how much money must be allocated from the dean's budget based on the number of scholarships offered.