A University Admissions Committee Anticipates an Enrollment of 8,000 Students

Essay

A university admissions committee anticipates an enrollment of 8,000 students in its freshman class next year. To satisfy admission quotas, incoming students have been categorized according to their sex and place of residence. The number of students in each category is given by the matrix
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By using data accumulated in previous years, the admissions committee has determined that these students will elect to enter the College of Letters and Science, the College of Fine Arts, the School of Business Administration, and the School of Engineering according to the percentages that appear in the following matrix:
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Find the matrix AB that shows the number of in-state, out-of-state, and foreign students expected to enter each discipline.