Questions:
Ryerson’s admissions office is planning the admission policies for the entering freshman class of 2015. The university has a maximum of 4,500 available seats for freshman. Tuition fee is $8,600 for domestic students and $19,200 for international students. Ryerson wants to maximize its revenue from tuition, but by an Ontario mandate the total number of international students should be no more than 47% of the total number of students admitted. Also, each individual faculty in the university must have at least 30% domestic students in its freshman class. In order to improve its ranking, Ryerson is also planning to have a minimum average SAT score of 1150 among the admitted students. The following table shows the average SAT scores for last year’s freshman class for domestic and international students (it is fair to assume that these averages remain the same for the new entering students). The table also shows the maximum size of the freshman class for each faculty.
Faculty Faculty of Science
Faculty of Arts
Ted Rogers School of Management
Faculty of Communication & Design
Faculty of Engineering & Architectural Science Faculty of Community Services
Average SAT Score Domestic International
1350 1460 1010 1050 1020 1110 1090 1180 1360 1420 1000 1400
Total Capacity
470
1300
240
820
1060
610
Formulate an LP to determine the number of domestic and international students that should be admitted to each faculty. Clearly define your decision variables and formulate the objective function and constraints.
How many domestic and international students should be admitted to each faculty and what is the maximum revenue? To answer this question, set up the model in Excel and find the optimal
Subject | Mathematics |
Due By (Pacific Time) | 03/31/2015 04:00 am |
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