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   2500 2800   600 500 900 700 A =  Out-of-state   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

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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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
 
2500 2800
 
600 500
900 700
A =  Out-of-state
  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.
    L. & S. Fine Arts Bus. Ad. Eng.
B =  Male
 
 0.25    0.20    0.30    0.25
 
 0.30    0.35    0.25    0.10
Female
Find the matrix AB that shows the number of in-state, out-of-state, and foreign students expected to enter each discipline.
AB =
                         
                       
                       
 
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