Average SAT Scares College 1. Architecture Total Capacity 470 In-State Out-of-State 1350 1460 2. Arts & Sciences 1010 1050 1300 3. Agriculture 1020 1110 240 4. Business 1090 1180 820 5. Engineering 1360 1420 1060 6. Human Resources 1000 1400 610
The admissions office at State University wants to de-
velop a planning model for next year’s entering freshman
class. The university has 4500 available openings for
freshman. Tuition is $8600 for an in-state student and
$19,200 for an out-of-state student. The university wants
to maximize the money it receives from tuition, but by
state mandate it can admit no more than 47% out-of-state
students. Also, each college in the university must have at
least 30% in-state students in its freshman class. In order
to be ranked in several national magazines, it wants the
freshman class to have an average SAT score of 1150.
Following are the average SAT scores for last year’s
freshman class for in-state and out-of-state students in
each college in the university, plus the maximum size of
the freshman class for each college.
a. Formulate and solve a linear programming model that
will determine the number of in-state and out-of-state
students that should enter each college.
b. If the solution in part (a) does not achieve the maxi-
mum freshman class size, discuss how you might ad-
just the model to reach this class size.
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