Problem #6: The admissions office at a university is trying to develop a plan for the following year's entering class. They have 4500 openings for freshmen. Tuition is S 8600 for students who live in that state, and $9900 for students who do not live in that state. The university wants to maximize the revenue it receives from tuition but the law states that the number of students from outside the state cannot be more than 47% of the total student body. Furthermore, at least 30% of students in each college have to be students from that state. The university has six colleges. The university also wants to have an average SAT score of at least 1150. SAT scores College 1 2 3 4 5 6 In-state students 1350 1010 1020 1090 1360 1000 Out-of-state students 1460 1050 1110 1180 1420 1400 Capacity 470 1300 240 820 1060 610 How many students (in-state and out-of-state) should the university accept to each of its six colleges?