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A university admissions committee anticipates an enrollment of 8000 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 A. Male Female In-state 2700 2800 A= Out-of-state 700 600 600 600 Foreign 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. AB= L & S. Fine Arts Bus. Ad. Eng. 0.25 0.20 0.30 0.25 Female 0.30 0.35 0.25 0.10 Male Find the matrix AB that shows the number of in-state, out-of-state, and foreign students expected to enter each discipline. 41

A university admissions committee anticipates an enrollment of 8000 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 A. Male Female In-state 2700 2800 A= Out-of-state 700 600 600 600 Foreign 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. AB= L & S. Fine Arts Bus. Ad. Eng. 0.25 0.20 0.30 0.25 Female 0.30 0.35 0.25 0.10 Male Find the matrix AB that shows the number of in-state, out-of-state, and foreign students expected to enter each discipline. 41

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A university admissions committee anticipates an enrollment of 8000 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 A. Male Female In-state 2700 2800 A = Out-of-state 700 600 Foreign 600 600 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. B = AB = Male Female L. & S. Fine Arts 0.25 0.20 Bus. Ad. Eng. 0.30 0.25 0.30 0.35 0.25 0.10 Find the matrix AB that shows the number of in-state, out-of-state, and foreign students expected to enter each discipline. ↓ 1 ↓ 1
Transcribed Image Text:A university admissions committee anticipates an enrollment of 8000 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 A. Male Female In-state 2700 2800 A = Out-of-state 700 600 Foreign 600 600 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. B = AB = Male Female L. & S. Fine Arts 0.25 0.20 Bus. Ad. Eng. 0.30 0.25 0.30 0.35 0.25 0.10 Find the matrix AB that shows the number of in-state, out-of-state, and foreign students expected to enter each discipline. ↓ 1 ↓ 1
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