The University of Operations Management (UOM) enrolls two distinct categories of students: recent high-school graduates and transfer students from other universities. Recent high-school graduates typically spend 4.5 years in the university before they graduate, while transfer students have an average duration of 3 years. Among the students admitted, 70% are recent high-school graduates. If UOM admits an annual average of 10,000 students, what is the total number of students enrolled at any given time on average?

Consider the previous UOM question. Suppose you have just noticed that you omitted accounting for dropouts in your analysis. With a dropout rate of 20% among recent high-school graduates at the UOM and an average duration of one year in university for these students, what is the revised average total enrollment at any given time?