Q6. A graduating senior has been accepted by three universities for an M.S. in engineering. Two criteria have been identified; the first is the program and university's academic rating and the second is the cost. A third criterion of location was considered, but the student recognized that it is only for about a year, and applications were only made to acceptable schools. The student is currently enrolled in the first university, which is rated as a 5 for academic rank and a 7 for cost. The second is a larger out-of-state public university, which is rated as a 7 for academic rank and a 6 for cost. The third is s prestigious private school, which is rated as a 10 academically and a 3 for its higher cost. (a) What is the total score for each school if the academic rank has a weight of 40%?